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
β¦ LIBER β¦
On Modular Homology of Simplicial Complexes: Saturation
β Scribed by V.B Mnukhin; I.J Siemons
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 355 KB
- Volume
- 98
- Category
- Article
- ISSN
- 0097-3165
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β¦ Synopsis
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.
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