An upper bound for higher topological complexity and higher strongly equivariant complexity

Amit Kumar Paul; Debasis Sen

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arXiv · 1912.05141

An upper bound for higher topological complexity and higher strongly equivariant complexity

Amit Kumar Paul·Debasis Sen

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Abstract

We prove an upper bound of higher topological complexity $TC_n(X)$ using higher $\mathcal{D}$-topological complexity $TC_n^{\mathcal{D}}(X)$ of a space $X$. An intermediate invariant $\widetilde{TC}_n(X)$ is used in the proof. We interpret this invariant $\widetilde{TC}_n(X)$ as higher analogue of strongly equivariant topological complexity of the universal cover of $\widetilde{X}$ with the action of the fundamental group of $X$.

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Amit Kumar Paul, Debasis Sen. 2019-12-11. An upper bound for higher topological complexity and higher strongly equivariant complexity. https://arxiv.org/abs/1912.05141

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