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A triangulation criterion

Published online by Cambridge University Press:  26 February 2010

F. E. A. Johnson
F. E. A. Johnson
Affiliation:
Department of Mathematics, University College, London.
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Extract

The aim of this paper is to prove the following

Theorem A. Let K be an ordered, locally finite, simplicial complex, considered as a category, let L be a subcomplex, and let F : K → PL be a functor. Then

(i) the geometric realisation 〈F〉 of F has a natural PL structure in which 〈F|L〉 is a subpolyhedron, and, in particular,

(ii) 〈F〉 admits a triangulation by a locally finite simplicial complex in which 〈F|L〉 is triangulated as a subcomplex.

Type
Research Article
Information
Mathematika , Volume 25 , Issue 1 , June 1978 , pp. 110 - 114
Copyright
Copyright © University College London 1978

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References

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