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On the homology theory of semi-simplicial chain-complexes

โœ Scribed by Azmi Hanna


Book ID
112910300
Publisher
Springer Milan
Year
1965
Tongue
Italian
Weight
229 KB
Volume
14
Category
Article
ISSN
0009-725X

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On Modular Homology of Simplicial Comple
โœ V.B. Mnukhin; I.J. Siemons ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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
โœ V.B Mnukhin; I.J Siemons ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.