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Iterated homology and decompositions of simplicial complexes

✍ Scribed by Art M. Duval; Ping Zhang

Publisher
The Hebrew University Magnes Press
Year
2001
Tongue
English
Weight
721 KB
Volume
121
Category
Article
ISSN
0021-2172

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πŸ“œ SIMILAR VOLUMES

On Modular Homology of Simplicial Comple
On Modular Homology of Simplicial Complexes: Shellability
✍ V.B. Mnukhin; I.J. Siemons πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 256 KB

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 characte

On Modular Homology of Simplicial Comple
On Modular Homology of Simplicial Complexes: Saturation
✍ V.B Mnukhin; I.J Siemons πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 355 KB

Among shellable complexes a certain class is shown to have maximal modular homology, and these are the so-called saturated complexes. We show that certain conditions on the links of the complex imply saturation. We prove that Coxeter complexes and buildings are saturated.