Some observations on the index of Cp-spaces
Abstract
In this paper, we consider numerical indices associated to spaces with free Cp-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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.