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On the connectivity of finite subset spaces

Algebraic Topology 2012-05-01 v2 Geometric Topology

Abstract

We show that for an m-connected cell complex X the space exp_k X of non-empty subsets of X of cardinality at most k is (m + k - 2)-connected

Keywords

Cite

@article{arxiv.1203.5180,
  title  = {On the connectivity of finite subset spaces},
  author = {Jacob Mostovoy and Rustam Sadykov},
  journal= {arXiv preprint arXiv:1203.5180},
  year   = {2012}
}

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2 pages