Geodesic
On the connectivity of finite subset spaces
Jacob Mostovoy 1   ; Rustam Sadykov 1
1 Departamento de Matemáticas CINVESTAV-IPN Av. Instituto Politécnico Nacional 2508 Col. San Pedro Zacatenco México, D.F., C.P. 07360, Mexico
Fundamenta Mathematicae, Tome 217 (2012) no. 3, pp. 279-282 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that the space $\exp_k \bigvee S^{m+1}$ of nonempty subsets of cardinality at most $k$ in a bouquet of $m+1$-dimensional spheres is $(m+k-2)$-connected. This, as shown by Tuffley, implies that the space $\exp_k X$ is $(m+k-2)$-connected for any $m$-connected cell complex $X$.
DOI : 10.4064/fm217-3-6
Keywords: prove space exp bigvee nonempty subsets cardinality bouquet dimensional spheres k connected shown tuffley implies space exp k connected m connected cell complex

Jacob Mostovoy  1   ; Rustam Sadykov  1

1 Departamento de Matemáticas CINVESTAV-IPN Av. Instituto Politécnico Nacional 2508 Col. San Pedro Zacatenco México, D.F., C.P. 07360, Mexico 
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Jacob Mostovoy; Rustam Sadykov. On the connectivity of finite subset spaces. Fundamenta Mathematicae, Tome 217 (2012) no. 3, pp. 279-282. doi: 10.4064/fm217-3-6

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