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Comparing minimal simplicial models
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Adamaszek, Michał (2013) Comparing minimal simplicial models. Journal of Homotopy and Related Structures, Volume 8 (Number 1). pp. 117-125. doi:10.1007/s40062-012-0014-3 ISSN 2193-8407.
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Official URL: http://dx.doi.org/10.1007/s40062-012-0014-3
Abstract
We compare minimal combinatorial models of homotopy types: arbitrary simplicial complexes, flag complexes and order complexes. Flag complexes are the simplicial complexes which do not have the boundary of a simplex of dimension greater than one as an induced subcomplex. Order complexes are classifying spaces of posets and they correspond to models in the category of finite T 0-spaces. In particular, we prove that stably, that is after a suitably large suspension, the optimal flag complex representing a homotopy type is approximately twice as big as the optimal simplicial complex with that property (in terms of the number of vertices). We also investigate some related questions.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Homotopy and Related Structures | ||||
Publisher: | Springer | ||||
ISSN: | 2193-8407 | ||||
Official Date: | 2013 | ||||
Dates: |
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Volume: | Volume 8 | ||||
Number: | Number 1 | ||||
Page Range: | pp. 117-125 | ||||
DOI: | 10.1007/s40062-012-0014-3 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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