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arXiv · 2605.02887

Embedding complexes into pseudomanifolds

Kasia Jankiewicz·Kevin Schreve
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Abstract

We show that for $d\geq 2$ every finite $d$-dimensional simplicial complex is a deformation retract of a $(2d-1)$-dimensional pseudomanifold with boundary. Moreover, it embeds as a retract in a closed $(2d-1)$-dimensional pseudomanifold.

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Kasia Jankiewicz, Kevin Schreve. 2026-05-04. Embedding complexes into pseudomanifolds. https://arxiv.org/abs/2605.02887

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