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On the topology of the free complexes of convex geometries

Authors :
Hachimori, Masahiro
Kashiwabara, Kenji
Source :
Discrete Mathematics. Jan2007, Vol. 307 Issue 2, p274-279. 6p.
Publication Year :
2007

Abstract

Abstract: We investigate the free complex of a convex geometry. Edelman and Reiner showed that the free complex of a convex geometry is contractible. Moreover, their paper stated a conjecture about the topology of free complexes. This paper proves their conjecture. [Copyright &y& Elsevier]

Subjects

Subjects :
*GEOMETRY
*MATHEMATICS
*LINEAR algebra
*MATHEMATICAL analysis

Details

Language :
English
ISSN :
0012365X
Volume :
307
Issue :
2
Database :
Academic Search Index
Journal :
Discrete Mathematics
Publication Type :
Academic Journal
Accession number :
23352682
Full Text :
https://doi.org/10.1016/j.disc.2006.06.020
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