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arXiv · 1508.03979

The collapsibility of some CAT(0) simplicial complexes of dimension 3

Ioana-Claudia Lazar
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Abstract

We study the collapsibility of finite simplicial complexes of dimension 3 endowed with a CAT(0) metric. Our main result states that, under an additional hypothesis, finite simplicial 3-complexes endowed with a CAT(0) metric collapse to a point through CAT(0) subspaces.

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Ioana-Claudia Lazar. 2015-08-17. The collapsibility of some CAT(0) simplicial complexes of dimension 3. https://arxiv.org/abs/1508.03979

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