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arXiv · 2112.11881

Some observations on the index of $C_p$-spaces

Bikramjit Kundu
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Abstract

In this paper, we consider numerical indices associated to spaces with free $C_p$-action. We prove that the Stiefel manifolds provide an example of non-tidy spaces for $p=2$, which are those whose co-index and index disagree. In the case of odd primes, we construct examples of co-index $3$ whose index may be arbitrarily large.

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Bikramjit Kundu. 2021-12-22. Some observations on the index of $C_p$-spaces. https://arxiv.org/abs/2112.11881

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