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Various topological complexities of small covers and real Bott manifolds
Part of
- Classical Topics in Algebraic Topology
Koushik Brahma, Bikramaditya Naskar, Soumen Sarkar, Subhankar Sau
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics , First View

Published online by Cambridge University Press:

27 December 2023, pp. 1-26
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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.

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Various topological complexities of small covers and real Bott manifolds