Various topological complexities of small covers and real Bott manifolds

Article Type

Research Article

Publication Title

Proceedings of the Royal Society of Edinburgh Section A: Mathematics

Abstract

In this paper, we compute the LS-category and equivariant LS-category of a small cover and its real moment angle manifold. We calculate a tight lower bound for the topological complexity of many small covers over a product of simplices. Then we compute symmetric topological complexity of several small covers over a product of simplices. We calculate the LS one-category of real Bott manifolds and infinitely many small covers.

DOI

https://10.1017/prm.2023.124

Publication Date

1-1-2023

Comments

Open Access, Green

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