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The homology of a lattice

Authors :
Harry Lakser
Source :
Discrete Mathematics. (2):187-192
Publisher :
Published by Elsevier B.V.

Abstract

With each bounded lattice L is associated a simplicial complex KL. If X is a cross-cut of L, then a simplicial complex KX is defined. It is shown that the geometric realizations of KX and KL are homotopy equivalent.

Subjects

Subjects :
Combinatorics
Discrete mathematics
Simplicial complex
Homotopy
Mathematics::Category Theory
Discrete Mathematics and Combinatorics
Bounded lattice
Homology (mathematics)
Simplicial homology
Mathematics::Algebraic Topology
Theoretical Computer Science
Mathematics

Details

Language :
English
ISSN :
0012365X
Issue :
2
Database :
OpenAIRE
Journal :
Discrete Mathematics
Accession number :
edsair.doi.dedup.....a1d90944ce450b31249ad12e35db7669
Full Text :
https://doi.org/10.1016/0012-365X(71)90024-0
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