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Higher equivariant and invariant topological complexity

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arxiv 1804.08006 v1 pith:E7O4EWM4 submitted 2018-04-21 math.AT

Marzieh Bayeh , Soumen Sarkar This is my paper · ORCID
classification math.AT
keywords equivariantcomplexityhigherinvariantinvariantstopologicalanglebounds
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In this paper we introduce the concepts of higher equivariant and invariant topological complexity; 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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  1. Morita Invariance of Equivariant Lusternik-Schnirelmann Category and Invariant Topological Complexity

    math.AT 2019-08 accept novelty 7.0 of 10

    For compact Lie group actions on metrizable spaces, equivariant A-category is invariant under Morita equivalence, yielding Morita-invariant equivariant LS-category and invariant topological complexity, and hence an or...

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