Higher equivariant and invariant topological complexities

IF 0.7 4区数学 Q2 MATHEMATICS Journal of Homotopy and Related Structures Pub Date : 2020-06-21 DOI:10.1007/s40062-020-00260-6

Marzieh Bayeh, Soumen Sarkar

引用次数: 8

Abstract

In this paper we introduce concepts of higher equivariant and invariant topological complexities and study their properties. Then we compare them with equivariant LS-category. We give lower and upper bounds for these new invariants. We compute some of these invariants for moment angle complexes.

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更高的等变和不变拓扑复杂性

本文引入了高等变和不变拓扑复杂度的概念，并研究了它们的性质。然后将其与等变ls范畴进行比较。我们给出了这些新不变量的下界和上界。我们计算一些矩角复合体的不变量。

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 Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.

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