Geodesic
Remarks on finite subset spaces
Homology, homotopy, and applications, Tome 11 (2009) no. 2, pp. 229-250.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2009.v11.n2.a12
Classification : 55S15, 55U10
Keywords: finite subsets, connectivity, homology, manifold structure 
@article{HHA_2009_11_2_a12,
     author = {Sadok Kallel and Denis Sjerve},
     title = {Remarks on finite subset spaces},
     journal = {Homology, homotopy, and applications},
     pages = {229--250},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2009},
     doi = {10.4310/HHA.2009.v11.n2.a12},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n2.a12/}
}
TY  - JOUR
AU  - Sadok Kallel
AU  - Denis Sjerve
TI  - Remarks on finite subset spaces
JO  - Homology, homotopy, and applications
PY  - 2009
SP  - 229
EP  - 250
VL  - 11
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n2.a12/
DO  - 10.4310/HHA.2009.v11.n2.a12
LA  - en
ID  - HHA_2009_11_2_a12
ER  - 
%0 Journal Article
%A Sadok Kallel
%A Denis Sjerve
%T Remarks on finite subset spaces
%J Homology, homotopy, and applications
%D 2009
%P 229-250
%V 11
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n2.a12/
%R 10.4310/HHA.2009.v11.n2.a12
%G en
%F HHA_2009_11_2_a12
Sadok Kallel; Denis Sjerve. Remarks on finite subset spaces. Homology, homotopy, and applications, Tome 11 (2009) no. 2, pp. 229-250. doi : 10.4310/HHA.2009.v11.n2.a12. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n2.a12/

Cité par Sources :