Homology, Homotopy and Applications
- Homology Homotopy Appl.
- Volume 11, Number 2 (2009), 229-250.
Remarks on finite subset spaces
This paper expands on and refines some known and less well-known results about the finite subset spaces of a simplicial complex X including their connectivity and manifold structure. It also discusses the inclusion of the singletons into the three-fold subset space and shows that this subspace is weakly contractible but generally non-contractible unless X is a cogroup. Some homological calculations are provided.
Homology Homotopy Appl., Volume 11, Number 2 (2009), 229-250.
First available in Project Euclid: 27 January 2011
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Kallel, Sadok; Sjerve, Denis. Remarks on finite subset spaces. Homology Homotopy Appl. 11 (2009), no. 2, 229--250. https://projecteuclid.org/euclid.hha/1296138520