Topology and its Applications最新文献_第9页

Retracts and retracts by pseudo-deformation of continua without R3-sets, R4-continua, and s-points 不含 R3-集合、R4-连续面和 s-点的连续面伪变形的回缩和回缩

IF 0.6 4区数学

Topology and its Applications Pub Date : 2024-05-03 DOI: 10.1016/j.topol.2024.108937

Félix Capulín, Mario Flores-González , David Maya

引用次数: 0

On Vassiliev invariants of virtual knots 论虚结的瓦西里耶夫不变式

IF 0.6 4区数学

Topology and its Applications Pub Date : 2024-05-03 DOI: 10.1016/j.topol.2024.108935

Wout Moltmaker , Louis H. Kauffman

引用次数: 0

On some topological games involving networks 关于一些涉及网络的拓扑博弈

IF 0.6 4区数学

Topology and its Applications Pub Date : 2024-04-30 DOI: 10.1016/j.topol.2024.108936

Leandro F. Aurichi, Maddalena Bonanzinga, Davide Giacopello

引用次数: 0

Conditions for chainability of inverse limits on [0,1] with interval-valued functions [0,1]上带区间值函数的逆极限可链性条件

IF 0.6 4区数学

Topology and its Applications Pub Date : 2024-04-30 DOI: 10.1016/j.topol.2024.108933

M.M. Marsh

引用次数: 0

Strong digital topological complexity of digital maps 数字地图的强数字拓扑复杂性

IF 0.6 4区数学

Topology and its Applications Pub Date : 2024-04-29 DOI: 10.1016/j.topol.2024.108934

Zhiguo Zhang , Jingyan Li , Jie Wu

引用次数: 0

Strongly ultrametric preserving functions 强超对称保值函数

IF 0.6 4区数学

Topology and its Applications Pub Date : 2024-04-25 DOI: 10.1016/j.topol.2024.108931

Oleksiy Dovgoshey

引用次数: 0

Characterizations of open and semi-open maps of compact Hausdorff spaces by induced maps 用诱导映射表征紧凑 Hausdorff 空间的开映射和半开映射

IF 0.6 4区数学

Topology and its Applications Pub Date : 2024-04-23 DOI: 10.1016/j.topol.2024.108921

Xiongping Dai, Yuxuan Xie

引用次数: 0

Weakly first-countability in strongly topological gyrogroups 强拓扑陀螺群中的弱第一可计算性

IF 0.6 4区数学

Topology and its Applications Pub Date : 2024-04-20 DOI: 10.1016/j.topol.2024.108920

Jing Zhang , Kaixiong Lin , Wenfei Xi

{"title":"Weakly first-countability in strongly topological gyrogroups","authors":"Jing Zhang , Kaixiong Lin , Wenfei Xi","doi":"10.1016/j.topol.2024.108920","DOIUrl":"https://doi.org/10.1016/j.topol.2024.108920","url":null,"abstract":"<div>In this note, it is proved that (1) if <math><mo>(</mo><mi>G</mi><mo>,</mo><mi>τ</mi><mo>,</mo><mo>⊕</mo><mo>)</mo></math> is a strongly topological gyrogroup and H is a closed strong subgyrogroup of G, then <math><mi>G</mi><mo>/</mo><mi>H</mi></math> is κ-Fréchet-Urysohn if and only if <math><mi>G</mi><mo>/</mo><mi>H</mi></math> is strongly κ-Fréchet-Urysohn under the condition that H is neutral; (2) let H be a closed strong subgyrogroup of a strongly topological gyrogroup<math><mo>(</mo><mi>G</mi><mo>,</mo><mi>τ</mi><mo>,</mo><mo>⊕</mo><mo>)</mo></math>, then the equality <math><mi>Δ</mi><mo>(</mo><mi>G</mi><mo>/</mo><mi>H</mi><mo>)</mo><mo>=</mo><mi>ψ</mi><mo>(</mo><mi>G</mi><mo>/</mo><mi>H</mi><mo>)</mo></math> holds when H is neutral; (3) if <math><mo>(</mo><mi>G</mi><mo>,</mo><mi>τ</mi><mo>,</mo><mo>⊕</mo><mo>)</mo></math> is a sequential strongly topological gyrogroup having a point-countable k-network, then G is metrizable or a topological sum of cosmic subspaces. There results improve the related results in topological groups.</div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140650737","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the product of almost discrete Grothendieck spaces 关于几乎离散的格罗内迪克空间的乘积

IF 0.6 4区数学

Topology and its Applications Pub Date : 2024-04-17 DOI: 10.1016/j.topol.2024.108919

Alexander V. Osipov

{"title":"On the product of almost discrete Grothendieck spaces","authors":"Alexander V. Osipov","doi":"10.1016/j.topol.2024.108919","DOIUrl":"https://doi.org/10.1016/j.topol.2024.108919","url":null,"abstract":"<div>A topological space X is called almost discrete, if it has precisely one nonisolated point. In this paper, we get that for a countable product <math><mi>X</mi><mo>=</mo><mo>∏</mo><msub><mrow><mi>X</mi></mrow><mrow><mi>i</mi></mrow></msub></math> of almost discrete spaces <math><msub><mrow><mi>X</mi></mrow><mrow><mi>i</mi></mrow></msub></math> the space <math><msub><mrow><mi>C</mi></mrow><mrow><mi>p</mi></mrow></msub><mo>(</mo><mi>X</mi><mo>)</mo></math> of all continuous real-valued functions with the topology of pointwise convergence is a μ-space if, and only if, X is a weak q-space if, and only if, <math><mi>t</mi><mo>(</mo><mi>X</mi><mo>)</mo><mo>=</mo><mi>ω</mi></math> if, and only if, X is functionally generated by the family of all its countable subspaces.This result makes it possible to solve Archangel'skii's problem on the product of Grothendieck spaces. It is proved that in the model of ZFC, obtained by adding one Cohen real, there are Grothendieck spaces X and Y such that <math><mi>X</mi><mo>×</mo><mi>Y</mi></math> is not weakly Grothendieck space. In <math><mo>(</mo><mi>P</mi><mi>F</mi><mi>A</mi><mo>)</mo></math>: the product of any countable family almost discrete Grothendieck spaces is a Grothendieck space.</div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140813800","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

H-star-Lindelöf property and weaker versions H-star-Lindelöf 性质和弱化版本

IF 0.6 4区数学

Topology and its Applications Pub Date : 2024-04-17 DOI: 10.1016/j.topol.2024.108911

Ricardo Cruz-Castillo , Alejandro Ramírez-Páramo , Jesús F. Tenorio

引用次数: 0