Locally connected simplicial maps

M. Aschbacher; Y. Segev

doi:10.1007/BF02773693

Locally connected simplicial maps

M. Aschbacher, Y. Segev

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In Propositions 1.6 and 7.6 of his paper on p-group complexes of finite groups [5], Quillen establishes fundamental results comparing the homology and the fundamental group of the order complexes of posets P, Q admitting a map f :P →Q of posets with good local behavior. We prove the analogue of Quillen's results for maps f :K→L of simplicial complexes K and L in a more general setup.

Original language	English
Pages (from-to)	285-303
Number of pages	19
Journal	Israel Journal of Mathematics
Volume	77
Issue number	3
DOIs	https://doi.org/10.1007/BF02773693
State	Published - 1 Oct 1992

ASJC Scopus subject areas

General Mathematics

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title = "Locally connected simplicial maps",

abstract = "In Propositions 1.6 and 7.6 of his paper on p-group complexes of finite groups [5], Quillen establishes fundamental results comparing the homology and the fundamental group of the order complexes of posets P, Q admitting a map f :P →Q of posets with good local behavior. We prove the analogue of Quillen's results for maps f :K→L of simplicial complexes K and L in a more general setup.",

author = "M. Aschbacher and Y. Segev",

year = "1992",

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AU - Aschbacher, M.

AU - Segev, Y.

PY - 1992/10/1

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N2 - In Propositions 1.6 and 7.6 of his paper on p-group complexes of finite groups [5], Quillen establishes fundamental results comparing the homology and the fundamental group of the order complexes of posets P, Q admitting a map f :P →Q of posets with good local behavior. We prove the analogue of Quillen's results for maps f :K→L of simplicial complexes K and L in a more general setup.

AB - In Propositions 1.6 and 7.6 of his paper on p-group complexes of finite groups [5], Quillen establishes fundamental results comparing the homology and the fundamental group of the order complexes of posets P, Q admitting a map f :P →Q of posets with good local behavior. We prove the analogue of Quillen's results for maps f :K→L of simplicial complexes K and L in a more general setup.

UR - http://www.scopus.com/inward/record.url?scp=51249169310&partnerID=8YFLogxK

U2 - 10.1007/BF02773693

DO - 10.1007/BF02773693

M3 - Article

AN - SCOPUS:51249169310

SN - 0021-2172

VL - 77

SP - 285

EP - 303

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 3

ER -

Locally connected simplicial maps

Abstract

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