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arXiv · 2207.05717

Homotopy Equivalences of 3-Manifolds

Federica Bertolotti
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Abstract

Let $M$ be an oriented closed $3$-manifold. We prove that there exists a constant $A_M$, depending only on the manifold $M$, such that for every self-homotopy equivalence $f$ of $M$ there is an integer $k$ such that $1 \leq k \leq A_M$ and $f^k$ is homotopic to a homeomorphism.

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Federica Bertolotti. 2022-08-09. Homotopy Equivalences of 3-Manifolds. https://arxiv.org/abs/2207.05717

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