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Infinite Regular Neighbourhoods
Author(s) -
Scott Anne
Publication year - 1967
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s1-42.1.245
Subject(s) - linear subspace , mathematics , h vector , uniqueness , abstract simplicial complex , simplicial manifold , pure mathematics , simplicial homology , piecewise linear function , piecewise , simplicial complex , simplicial approximation theorem , simplicial set , discrete mathematics , combinatorics , mathematical analysis , homotopy category , homotopy
This paper extends the theory of regular neighbourhoods in piecewise linear manifolds to the case of non‐compact subspaces. To do this, simplicial collapses in infinite simplicial complexes are investigated. Existence and uniqueness theorems similar to those given by Hudson and Zeeman for compact subspaces are then proved.