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arXiv · 2603.01439

Finite subset spaces of spheres

Jacob Mostovoy
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Abstract

We find the complete rational homology for the finite subset spaces of a $d$-dimensional sphere. We also determine the integral homology in top $d$ degrees and obtain a partial description of it in codimension $d$.

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Jacob Mostovoy. 2026-03-02. Finite subset spaces of spheres. https://arxiv.org/abs/2603.01439

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