Title of article
On Modular Homology of Simplicial Complexes: Shellability
Author/Authors
Mnukhin، نويسنده , , V.B. and Siemons، نويسنده , , I.J.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
21
From page
350
To page
370
Abstract
For a simplicial complex Δ and coefficient domain F let FΔ be the F-module with basis Δ. We investigate the inclusion map given by ∂: τ↦σ1+σ2+σ3+…+σk which assigns to every face τ the sum of the co-dimension 1 faces contained in τ. 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.
Keywords
modular homology , order homology , inclusion map , Cohen–Macaulay poset , Simplicial complex , shellability , p-Rank
Journal title
Journal of Combinatorial Theory Series A
Serial Year
2001
Journal title
Journal of Combinatorial Theory Series A
Record number
1530559
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