Finite subset spaces of spheres
Algebraic Topology
2026-03-03 v1
Abstract
We find the complete rational homology for the finite subset spaces of a -dimensional sphere. We also determine the integral homology in top degrees and obtain a partial description of it in codimension .
Cite
@article{arxiv.2603.01439,
title = {Finite subset spaces of spheres},
author = {Jacob Mostovoy},
journal= {arXiv preprint arXiv:2603.01439},
year = {2026}
}
Comments
10 pages, 1 figure