Formal aspects of parametrized topological complexity and its pointed version

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Topology and Analysis Pub Date : 2021-03-18 DOI:10.1142/s1793525321500631

J. García-Calcines

引用次数: 2

Abstract

The notion of parametrized topological complexity, introduced by Cohen, Farber and Weinberger, is extended to fiberwise spaces which are not necessarily Hurewicz fibrations. After exploring some formal properties of this extension we also introduce the pointed version of parametrized topological complexity. Finally, we give sufficient conditions so that both notions agree.

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参数化拓扑复杂性的形式方面及其指向版本

由Cohen, Farber和Weinberger引入的参数化拓扑复杂性的概念被扩展到不一定是Hurewicz纤维的光纤空间。在探索了这个扩展的一些形式性质之后，我们还引入了参数化拓扑复杂度的点形式。最后，我们给出了两个概念一致的充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Topology and Analysis MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.