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On Modular Homology of Simplicial Complexes: Shellability

✍ Scribed by V.B. Mnukhin; I.J. Siemons

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
256 KB
Volume
93
Category
Article
ISSN
0097-3165

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✦ Synopsis

For a simplicial complex 2 and coefficient domain F let F2 be the F-module with basis 2. We investigate the inclusion map given by : { [ _ 1 +_ 2 +_ 3 + } } } +_ k which assigns to every face { the sum of the co-dimension 1 faces contained in {. When the coefficient domain is a field of characteristic p>0 this map gives rise to homological sequences. We investigate this modular homology for shellable complexes.

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