Topology and its Applications最新文献_第3页

Topological dimension of a Reeb graph and a Reeb space Reeb图和Reeb空间的拓扑维数

IF 0.6 4区数学

Topology and its Applications Pub Date : 2025-05-29 DOI: 10.1016/j.topol.2025.109462

Irina Gelbukh

引用次数: 0

New family of hyperbolic knots whose Upsilon invariants are convex Upsilon不变量为凸的新双曲结族

IF 0.6 4区数学

Topology and its Applications Pub Date : 2025-05-27 DOI: 10.1016/j.topol.2025.109441

Keisuke Himeno

引用次数: 0

Characterization of the OU matrix of a braid diagram 编织图的OU矩阵的表征

IF 0.6 4区数学

Topology and its Applications Pub Date : 2025-05-27 DOI: 10.1016/j.topol.2025.109440

Ayaka Shimizu , Yoshiro Yaguchi

引用次数: 0

Combinatorial structures of the space of Hamiltonian vector fields on compact surfaces 紧曲面上哈密顿向量场空间的组合结构

IF 0.6 4区数学

Topology and its Applications Pub Date : 2025-05-27 DOI: 10.1016/j.topol.2025.109439

Tomoo Yokoyama

引用次数: 0

The space Cp(X) admits a dense exponentially separable subspace when X is metrizable 当X可度量时，空间Cp(X)允许一个稠密的指数可分子空间

IF 0.6 4区数学

Topology and its Applications Pub Date : 2025-05-22 DOI: 10.1016/j.topol.2025.109434

F. Hernández-Hernández, J.B. Ramírez-Chávez, R. Rojas-Hernández

{"title":"The space Cp(X) admits a dense exponentially separable subspace when X is metrizable","authors":"F. Hernández-Hernández, J.B. Ramírez-Chávez, R. Rojas-Hernández","doi":"10.1016/j.topol.2025.109434","DOIUrl":"10.1016/j.topol.2025.109434","url":null,"abstract":"<div><div>We prove that <math><msub><mrow><mi>C</mi></mrow><mrow><mi>p</mi></mrow></msub><mo>(</mo><mi>X</mi><mo>)</mo></math> admits a dense exponentially separable for any metrizable space X and, answering a question in [16], we give an example of a pseudocompact ω-monolithic space such that <math><msub><mrow><mi>C</mi></mrow><mrow><mi>p</mi></mrow></msub><mo>(</mo><mi>X</mi><mo>)</mo></math> does not admit dense functionally countable subspaces. In a similar sense, solving consistently a problem in [11], we prove that <math><msub><mrow><mi>C</mi></mrow><mrow><mi>p</mi></mrow></msub><mo>(</mo><mi>X</mi><mo>)</mo></math> may not always contain a dense subspace of countable functional tightness. In other direction, and answering a question posed in [6], we characterize compact spaces for which their Alexandroff doubles have a Lindelöf <math><msub><mrow><mi>C</mi></mrow><mrow><mi>p</mi></mrow></msub></math>; we also give a short proof of a result in [19] about a consistent characterization of the Lindelöf property in <math><msub><mrow><mi>C</mi></mrow><mrow><mi>p</mi></mrow></msub></math>-spaces over Hattori spaces.</div></div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":"370 ","pages":"Article 109434"},"PeriodicalIF":0.6,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144115656","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

Measurability of stochastic processes on topological probability spaces 拓扑概率空间上随机过程的可测性

IF 0.6 4区数学

Topology and its Applications Pub Date : 2025-05-22 DOI: 10.1016/j.topol.2025.109438

M.R. Burke , N.D. Macheras , W. Strauss

{"title":"Measurability of stochastic processes on topological probability spaces","authors":"M.R. Burke , N.D. Macheras , W. Strauss","doi":"10.1016/j.topol.2025.109438","DOIUrl":"10.1016/j.topol.2025.109438","url":null,"abstract":"<div><div>A standard technique for converting a stochastic process <math><msub><mrow><mo>(</mo><msub><mrow><mi>X</mi></mrow><mrow><mi>t</mi></mrow></msub><mo>)</mo></mrow><mrow><mi>t</mi><mo>∈</mo><mi>T</mi></mrow></msub></math> based on a probability space <math><mo>(</mo><mi>Y</mi><mo>,</mo><mi>ν</mi><mo>)</mo></math> into a separable process is to apply a lifting ρ for <math><msup><mrow><mi>L</mi></mrow><mrow><mo>∞</mo></mrow></msup><mo>(</mo><mi>ν</mi><mo>)</mo></math> to get the modified process <math><msub><mrow><mo>(</mo><mi>ρ</mi><mo>(</mo><msub><mrow><mi>X</mi></mrow><mrow><mi>t</mi></mrow></msub><mo>)</mo><mo>)</mo></mrow><mrow><mi>t</mi><mo>∈</mo><mi>T</mi></mrow></msub></math>. In general the modified process is not measurable even if the original process is. We identify the liftings for which the modification always remains measurable as those which are 2-marginals.</div><div>Our focus is on the topological probability spaces Y which are Stone spaces of measure algebras. These have a canonical lifting σ which selects the clopen representative from each measure class. We analyze the marginal properties of σ by showing that for any probability space Ω, there is a thick set <math><mi>Q</mi><mo>⊆</mo><mi>Y</mi></math> such that the restriction <math><mi>σ</mi><mo>↾</mo><mi>Q</mi></math> is a 2-marginal for the complete product space <math><mi>Ω</mi><mo>×</mo><mi>Q</mi></math>. It is known from a result of Musiał, Strauss, and Macheras that σ is not a 2-marginal for the usual product measure on <math><mi>Y</mi><mo>×</mo><mi>Y</mi></math> when Y is non-atomic (so we cannot take <math><mi>Q</mi><mo>=</mo><mi>Y</mi></math>). They asked whether this holds also for the Radon product measure. We show that it does under the Continuum Hypothesis, for some Stone spaces, building on work of Dudley and Cohn.</div></div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":"370 ","pages":"Article 109438"},"PeriodicalIF":0.6,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144135152","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

Hyperbolic horospheres in Teichmüller space and mapping class group teichm<e:1> ller空间中的双曲天球与映射类群

IF 0.6 4区数学

Topology and its Applications Pub Date : 2025-05-22 DOI: 10.1016/j.topol.2025.109424

Xiaoke Lou , Weixu Su , Dong Tan

引用次数: 0

Equivalences in selective topological games on the class of dense subsets in the space of continuous functions Ck(X) 连续函数Ck(X)空间中密集子集类上的选择性拓扑对策的等价性

IF 0.6 4区数学

Topology and its Applications Pub Date : 2025-05-22 DOI: 10.1016/j.topol.2025.109435

Juan F. Camasca Fernández

引用次数: 0

On stability of ultrametrically injective hulls 超注入船体稳定性研究

IF 0.6 4区数学

Topology and its Applications Pub Date : 2025-05-22 DOI: 10.1016/j.topol.2025.109437

Yi Shi , Xiaowei Wei

引用次数: 0

Orientation preserving homeomorphisms of the plane having BP-chain recurrent points 具有bp链循环点的平面的保取向同胚

IF 0.6 4区数学

Topology and its Applications Pub Date : 2025-05-20 DOI: 10.1016/j.topol.2025.109427

Jiehua Mai , Kesong Yan , Fanping Zeng

引用次数: 0