Query：
学者姓名：彭良雪
Refining：
Year
Type
Indexed by
Source
Complex
Co-Author
Language
Clean All
Abstract ：
If f: G -> Y is an irreducible closed continuous mapping defined on a regular weakly collectionwise normal first-countable meta-Lindelof locally sigma paratopological group G onto a T-1-space Y which has a neighborhood omega(omega)-base at a point y is an element of Y, then f(-1)(y) is sigma-compact in G. We prove that if a Frechet-Urysohn space X has strong alpha(4) -property and a weakly countably complete base, {U-alpha : alpha is an element of A(M)} then X is first-countable, where M is a separable and metrizable space and = {F: F is a non-empty compact subset of M } and K(M) with the Vietoris topology. By this result we can get the first-countability of certain paratopological groups.
Keyword ：
omega(omega)-base omega(omega)-base locally sigma-space locally sigma-space point-countable base point-countable base meta-Lindel & ouml;f meta-Lindel & ouml;f
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Deng, Yu-Ming , Peng, Liang-Xue . A note on fibers and Vietoris topologies of paratopological groups [J]. | QUAESTIONES MATHEMATICAE , 2024 . |
| MLA | Deng, Yu-Ming 等. "A note on fibers and Vietoris topologies of paratopological groups" . | QUAESTIONES MATHEMATICAE (2024) . |
| APA | Deng, Yu-Ming , Peng, Liang-Xue . A note on fibers and Vietoris topologies of paratopological groups . | QUAESTIONES MATHEMATICAE , 2024 . |
| Export to | NoteExpress RIS BibTex |
Abstract ：
In this note, we firstly discuss some properties of spaces which are countably sieve-complete, densely q-complete and strongly Baire. By some known conclusions, we finally show that if G is a regular countably sieve-complete semitopological group then G is a topological group. If a regular semitopological group G has a dense subgroup which is countably sieve-complete (densely q-complete), then G is a topological group. If G is a regular countably sieve-complete semitopological group then G is a D-space if and only if G is paracompact. We point out that some conditions in Theorem 2.14 and Corollary 2.15 in [17] are not essential.
Keyword ：
countably compact countably compact Semitopological group Semitopological group densely q-complete densely q-complete countably sieve-complete countably sieve-complete
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Peng, Liang-Xue . Every regular countably sieve-complete semitopological group is a topological group [J]. | FILOMAT , 2024 , 38 (15) : 5431-5440 . |
| MLA | Peng, Liang-Xue . "Every regular countably sieve-complete semitopological group is a topological group" . | FILOMAT 38 . 15 (2024) : 5431-5440 . |
| APA | Peng, Liang-Xue . Every regular countably sieve-complete semitopological group is a topological group . | FILOMAT , 2024 , 38 (15) , 5431-5440 . |
| Export to | NoteExpress RIS BibTex |
Abstract ：
If X is a hereditarily metacompact omega-scattered space and X has a sigma-NSR- NSR pair- base at every point of X , then X has a sigma-NSR- NSR pair-base. If X is a hereditarily meta-Lindelof omega-scattered space and X has a sigma-NSR- NSR pair-base at every point of X , then X has property (a sigma-A). If X is a hereditarily meta-Lindelof GO-space such that every condensation set of X has property (a sigma-A), then X has property (a sigma-A). We point out that there is a gap in the proof of Lemma 37 in [18]. We give a detailed proof for the result. We finally show that if ( X, tau, < ) is a GO-space and X (( n )) has property (A) for some n is an element of N, then X has property (A), where X ((0)) = X , X ( i +1) = { x is an element of X (( i )) : x is not an isolated point of X ( i ) } for each i < n . If X is a hereditarily meta-Lindelof omega-scattered GO-space, then X has a a-NSR- NSR pair-base and X (omega) is hereditarily a D-space. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Keyword ：
Property (A) Property (A) GO-space GO-space sigma-NSR pai-base sigma-NSR pai-base Hereditarily meta-Lindelof Hereditarily meta-Lindelof w-scattered w-scattered
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Peng, Liang-Xue . On some applications of property (A) ((σ-A)) at a point [J]. | TOPOLOGY AND ITS APPLICATIONS , 2024 , 355 . |
| MLA | Peng, Liang-Xue . "On some applications of property (A) ((σ-A)) at a point" . | TOPOLOGY AND ITS APPLICATIONS 355 (2024) . |
| APA | Peng, Liang-Xue . On some applications of property (A) ((σ-A)) at a point . | TOPOLOGY AND ITS APPLICATIONS , 2024 , 355 . |
| Export to | NoteExpress RIS BibTex |
Abstract ：
In this article, we introduce a notion which is called bM-omega-balancedness for semitopological groups. We show that a semitopological group G is topologically isomorphic to a subgroup of the product of a family of metrizable semitopological groups if and only if Gis T-0 bM-omega-balanced. Thus a semitopological group Gis T-0 bM-omega-balanced if and only if Gis regular, has property (*) and countable index of regularity. The notion of property (*) is in the sense of I. Sanchez in [16]. We show that if Gis a T-0 bM-omega-balanced weakly Lindelof paratopological group with a q-point, then for every continuous real-valued function f: G -> R, there exist a continuous clopen homomorphism pi: G -> H onto a separable metrizable paratopological group Hsuch that ker(pi) is countably compact and a continuous real-valued function g: H -> R such that f = g omicron pi. We introduce the notions of M(DE)-factorizability for semitopological groups. We show that a semitopological group Gis Tychonoff and M-factorizable if and only if Gis T-0 bM-omega-balanced and has property omega-QU. If Gis a Tychonoff M-factorizable semitopological group and f: G -> H is an open continuous homomorphism onto a semitopological group Hsuch that ker(f) is countably compact, then His DE-factorizable. (c) 2023 Elsevier B.V. All rights reserved.
Keyword ：
bM-omega-balancedness bM-omega-balancedness R-factorizable R-factorizable DE-factorizable DE-factorizable M-factorizable M-factorizable Weakly Lindelof Weakly Lindelof
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Peng, Liang-Xue , Ma, Chun-Jie , Deng, Yu-Ming . On bM-omega-balancedness and M-factorizability of para(semi)topological groups [J]. | TOPOLOGY AND ITS APPLICATIONS , 2023 , 337 . |
| MLA | Peng, Liang-Xue 等. "On bM-omega-balancedness and M-factorizability of para(semi)topological groups" . | TOPOLOGY AND ITS APPLICATIONS 337 (2023) . |
| APA | Peng, Liang-Xue , Ma, Chun-Jie , Deng, Yu-Ming . On bM-omega-balancedness and M-factorizability of para(semi)topological groups . | TOPOLOGY AND ITS APPLICATIONS , 2023 , 337 . |
| Export to | NoteExpress RIS BibTex |
Abstract ：
Let 9 be the class of all spaces Y satisfying:(1) Every compact subset of Y is a G delta-set;(2) If Y is countably compact, then it is locally compact;(3) Every closed Lindelof p-subspace of Y is metrizable.We show that if X is a nowhere locally compact compactly-fibered coset space and bX is a compactification of X such that the remainder bX \ X of X is in the class 9 , then bX \ X and X are separable metrizable spaces. Since spaces having a point countable base or a G delta-diagonal are in the class 9 , this generalizes results of Arhangel'skii. We obtain a number of related results, and also consider when a remainder of a space is a D-space.(c) 2023 Elsevier B.V. All rights reserved.
Keyword ：
Lindelof p-space Lindelof p-space D-space D-space Remainder Remainder Compactification Compactification Compactly-fibered coset space Compactly-fibered coset space
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Peng, Liang-Xue , Hu, Xing-Yu . On some properties of remainders of compactly-fibered coset spaces [J]. | TOPOLOGY AND ITS APPLICATIONS , 2023 , 342 . |
| MLA | Peng, Liang-Xue 等. "On some properties of remainders of compactly-fibered coset spaces" . | TOPOLOGY AND ITS APPLICATIONS 342 (2023) . |
| APA | Peng, Liang-Xue , Hu, Xing-Yu . On some properties of remainders of compactly-fibered coset spaces . | TOPOLOGY AND ITS APPLICATIONS , 2023 , 342 . |
| Export to | NoteExpress RIS BibTex |
Abstract ：
In this article, we give an internal characterization of subgroups of products of semitopological groups which satisfy certain properties that imply D-property. For example, we give an internal characterization of subgroups of products of regular semitopological groups which satisfy open (G), give an internal characterization of subgroups of products of regular first-countable semitopological groups which satisfy property (sigma-A) (property (sigma-B)). Every first-countable semitopological group with Collins-Roscoe property satisfies pre-(G) and property (pre-sigma-B). We finally show that if G is a Hausdorff countably compact semitopological group with Hs(G) <= omega and G satisfies property (pre-sigma-B) (pre-(G)), then G is a topological group. (C) 2022 Elsevier B.V. All rights reserved.
Keyword ：
Projectively P Projectively P omega-Balanced omega-Balanced Open (G) Open (G) Property (sigma-A) Property (sigma-A) Semitopological group Semitopological group Property (pre-sigma-B) Property (pre-sigma-B)
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Peng, Liang-Xue , Liu, Ying . Projectively first-countable semitopological groups with certain D-properties [J]. | TOPOLOGY AND ITS APPLICATIONS , 2022 , 315 . |
| MLA | Peng, Liang-Xue 等. "Projectively first-countable semitopological groups with certain D-properties" . | TOPOLOGY AND ITS APPLICATIONS 315 (2022) . |
| APA | Peng, Liang-Xue , Liu, Ying . Projectively first-countable semitopological groups with certain D-properties . | TOPOLOGY AND ITS APPLICATIONS , 2022 , 315 . |
| Export to | NoteExpress RIS BibTex |
Abstract ：
In this article, we show that if X is a monotonically normal space, then for any neighborhood assignment phi for X there exists a discrete subspace D of X such that X = (U{phi(d) : d is an element of D}) boolean OR (D) over bar and (D) over bar \ (U{phi(d) : d is an element of D}) is left-separated. A space X is called weakly dually discrete if for any neighborhood assignment phi for X there exists a discrete subspace D of X such that X = (U{phi(d) : d is an element of D}) boolean OR (D) over bar and (D) over bar \ (U{phi(d) : d is an element of D}) is a closed discrete subspace of X. We discuss some basic properties of weakly dually discrete spaces. In the last part of this article, we introduce the notions of linear dual discreteness and transitive dual discreteness. Some of their properties are discussed. We finally show that if a space X is discretely complete and X = U{X-n : n is an element of N} such that X-n is monotonically normal for each n is an element of N, then X is compact. If X is a monotonically normal space and Y is a compact T-1-space, then X x Y is dually 2-scattered. We also discuss some properties of spaces which are dually scattered with finite rank. (c) 2021 Elsevier B.V. All rights reserved.
Keyword ：
Monotonically normal Monotonically normal Left-separated Left-separated Transitively (linearly) dually discrete Transitively (linearly) dually discrete Weakly dually discrete Weakly dually discrete Dually discrete Dually discrete
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Peng, Liang-Xue , Yang, Zhen , Dong, Hai-Hong . On monotonically normal and transitively (linearly) dually discrete spaces [J]. | TOPOLOGY AND ITS APPLICATIONS , 2022 , 306 . |
| MLA | Peng, Liang-Xue 等. "On monotonically normal and transitively (linearly) dually discrete spaces" . | TOPOLOGY AND ITS APPLICATIONS 306 (2022) . |
| APA | Peng, Liang-Xue , Yang, Zhen , Dong, Hai-Hong . On monotonically normal and transitively (linearly) dually discrete spaces . | TOPOLOGY AND ITS APPLICATIONS , 2022 , 306 . |
| Export to | NoteExpress RIS BibTex |
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Liang-Xue, Peng . A note on compact-like semitopological groups (vol 11, pg 442, 2019) [J]. | CARPATHIAN MATHEMATICAL PUBLICATIONS , 2022 , 14 (1) . |
| MLA | Liang-Xue, Peng . "A note on compact-like semitopological groups (vol 11, pg 442, 2019)" . | CARPATHIAN MATHEMATICAL PUBLICATIONS 14 . 1 (2022) . |
| APA | Liang-Xue, Peng . A note on compact-like semitopological groups (vol 11, pg 442, 2019) . | CARPATHIAN MATHEMATICAL PUBLICATIONS , 2022 , 14 (1) . |
| Export to | NoteExpress RIS BibTex |
Abstract ：
Countably sieve-complete spaces were defined by M. Michael in 1972. In this article, we introduce a notion called countably sieve -s-complete spaces. Some properties of countably sieve-complete (countably sieve -s-complete, strongly countably complete) spaces are discussed. We get the following main results.A topological group is countably sieve-complete if and only if G contains a closed countably compact subgroup H such that the quotient space G/H is completely metrizable and the canonical quotient mapping pi : G-+ G/H is closed. By the above conclusion and a known conclusion, we get that a topological group G is strongly countably complete if and only if G is countably sieve-complete. A topological group G is countably sieve -s-complete if and only if G contains a sequentially compact closed subgroup H with a countable base of open neighborhoods such that the quotient space G/H is a completely metrizable space and the canonical quotient mapping pi : G-+ G/H is closed. An w-balanced topological group G is countably sieve-complete if and only if G contains a closed countably compact invariant subgroup H such that the quotient space G/H is a completely metrizable topological group and the canonical quotient mapping pi : G-+ G/H is closed. A topological group G is w-narrow and countably sieve -s-complete if and only if G contains a sequentially compact closed invariant subgroup H with a countable base of open neighborhoods such that the quotient space G/H is a completely metrizable second-countable topological group and the canonical quotient mapping pi : G-+ G/H is closed.We show that if G is a regular countably sieve-complete semitopological group with Sm(G) < w and satisfies property (*), then G is a topological group. Every regular totally w-narrow countably sieve-complete paratopological group is a topological group.(c) 2022 Elsevier B.V. All rights reserved.
Keyword ：
Countably complete sieve Countably complete sieve Totally?-narrow Totally?-narrow q-Point q-Point Countably s-complete sieve Countably s-complete sieve Completely metrizable space Completely metrizable space (Para)topological group (Para)topological group
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Peng, Liang-Xue , Liu, Ying . On (para)topological groups with a countably (s-)complete sieve [J]. | TOPOLOGY AND ITS APPLICATIONS , 2022 , 322 . |
| MLA | Peng, Liang-Xue 等. "On (para)topological groups with a countably (s-)complete sieve" . | TOPOLOGY AND ITS APPLICATIONS 322 (2022) . |
| APA | Peng, Liang-Xue , Liu, Ying . On (para)topological groups with a countably (s-)complete sieve . | TOPOLOGY AND ITS APPLICATIONS , 2022 , 322 . |
| Export to | NoteExpress RIS BibTex |
Abstract ：
In this article we show that every weakly Lindelof topological group (regular totally omega-narrow paratopological group) with a q-point is R-factorizable. We finally show that if G is a countably weakly collectionwise normal weakly Lindelof totally omega- narrow paratopological group with a q-point, then G is R-factorizable. In the second part of this article, we show that if G is an m-factorizable topological group and K is any locally compact omega-narrow topological group, then G x K is m-factorizable. This generalizes Theorem 8.5.5(a) in [1]. We show that if G is a metrizable topological group satisfying w(G) <= ? and H is a ? fine topological group with a q-point satisfying hwl(H) <= ? , where ? > omega, then every closed subgroup of G x H is M-factorizable, where hwl(H) stands for the hereditary weakly Lindelof number of H. (C) 2022 Elsevier B.V. All rights reserved.
Keyword ：
R-factorizable R-factorizable q-Point q-Point M-factorizable M-factorizable Weakly Lindelof Weakly Lindelof m-Factorizable m-Factorizable
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Peng, Liang-Xue , Ma, Chun-Jie . A study on weakly Lindelof (para)topological groups with a q-point and m(M)-factorizability [J]. | TOPOLOGY AND ITS APPLICATIONS , 2022 , 319 . |
| MLA | Peng, Liang-Xue 等. "A study on weakly Lindelof (para)topological groups with a q-point and m(M)-factorizability" . | TOPOLOGY AND ITS APPLICATIONS 319 (2022) . |
| APA | Peng, Liang-Xue , Ma, Chun-Jie . A study on weakly Lindelof (para)topological groups with a q-point and m(M)-factorizability . | TOPOLOGY AND ITS APPLICATIONS , 2022 , 319 . |
| Export to | NoteExpress RIS BibTex |
Export
| Results： |
Selected to |
| Format： |
