NDLI: Comparing minimal simplicial models

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Comparing minimal simplicial models

Content Provider	Springer Nature Link
Author	Adamaszek, Michał
Copyright Year	2012
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.
Starting Page	117
Ending Page	125
Page Count	9
File Format	PDF
ISSN	21938407
Journal	Journal of Homotopy and Related Structures
Volume Number	8
Issue Number	1
e-ISSN	15122891
Language	English
Publisher	Springer-Verlag
Publisher Date	2012-08-08
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Simplicial sets and complexes Triangulation Homotopy equivalences Algebra Functional Analysis Minimal model Simplicial complex Homotopy type Algebraic Topology Number Theory Suspensions
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Geometry and Topology

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