Remarks on finite subset spaces
Kallel, Sadok ; Sjerve, Denis
Homology Homotopy Appl., Tome 11 (2009) no. 1, p. 229-250 / Harvested from Project Euclid
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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.
Publié le : 2009-05-15
Classification:  Finite subsets,  connectivity,  homology,  manifold structure,  55U10,  55S15 
@article{1296138520,
     author = {Kallel, Sadok and Sjerve, Denis},
     title = {Remarks on finite subset spaces},
     journal = {Homology Homotopy Appl.},
     volume = {11},
     number = {1},
     year = {2009},
     pages = { 229-250},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1296138520}
}

Kallel, Sadok; Sjerve, Denis. Remarks on finite subset spaces. Homology Homotopy Appl., Tome 11 (2009) no. 1, pp.  229-250. http://gdmltest.u-ga.fr/item/1296138520/