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Bibliographic Details
Main Authors: Klein, John R., Naef, Florian
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2208.06289
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Table of Contents:
  • For a finitely dominated Poincaré duality space $M$, we show how the author's total obstruction to the existence of a Poincaré embedding of the diagonal map $M \to M \times M$ relates to the Reidemeister trace of the identity map of $M$. We also show that if the dimension of $M$ is even and at least four, and if $π_1(M)$ is a finite direct product of cyclic groups of order two, then the diagonal map admits a Poincaré embedding.