Journal of the Ramanujan Mathematical Society
Volume 38, Issue 1, March 2023 pp. 47–56.
Some observations on the index of C{p}-spaces
Authors:
Bikramjit Kundu
Author institution:
Department of Mathematics, Ramakrishna Mission Vivekananda Educational and Research Institute, Belur Math, Howrah 711 202
Summary:
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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