On the connectivity of finite subset spaces

Jacob Mostovoy, and Rustam Sadykov. "On the connectivity of finite subset spaces." Fundamenta Mathematicae 217.3 (2012): 279-282. <http://eudml.org/doc/283054>.

@article{JacobMostovoy2012,
abstract = {We prove that the space $exp_k ⋁ S^\{m+1\}$ 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.},
author = {Jacob Mostovoy, Rustam Sadykov},
journal = {Fundamenta Mathematicae},
keywords = {finite subset spaces; Tuffley conjecture},
language = {eng},
number = {3},
pages = {279-282},
title = {On the connectivity of finite subset spaces},
url = {http://eudml.org/doc/283054},
volume = {217},
year = {2012},
}

TY - JOUR
AU - Jacob Mostovoy
AU - Rustam Sadykov
TI - On the connectivity of finite subset spaces
JO - Fundamenta Mathematicae
PY - 2012
VL - 217
IS - 3
SP - 279
EP - 282
AB - We prove that the space $exp_k ⋁ S^{m+1}$ 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.
LA - eng
KW - finite subset spaces; Tuffley conjecture
UR - http://eudml.org/doc/283054
ER -