Combinatorial theory of local complexes
نویسندگان
چکیده
منابع مشابه
Combinatorial group theory and the homotopy groups of finite complexes
A description of homotopy groups of the 2-dimensional sphere in terms of combinatorial group theory was discovered by the second author in 1994 and given in his thesis [25], with a published version in [27]. In this article we give a combinatorial description of the homotopy groups of k-dimensional spheres with k ≥ 3. The description is given by identifying the homotopy groups as the center of ...
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The theory of local homology modules was initiated by Matlis in 1974. It is a dual version of the theory of local cohomology modules. Mohammadi and Divaani-Aazar (2012) studied the connection between local homology and Gorenstein flat modules by using Gorenstein flat resolutions. In this paper, we introduce generalized local homology modules for complexes and we give several ways for computing ...
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For any finite simplicial complex K, one can define Laplace operators ∆i which are combinatorial analogues of the Laplace operators on differential forms for a Riemannian manifold. The definition (as in [6, 7]) is as follows. Let Ci be the R-vector space of (oriented) simplicial i-chains in K with real coefficients, and ∂i : Ci → Ci−1 the usual simplicial boundary map. Endow Ci with an inner pr...
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this article is intended to be a survey on some combinatorial topics in group theory. the bibliography at the end is neither claimed to be exhaustive, nor is it necessarily connected with a reference in the text. i include it as i see it revolves around the concepts which are discussed in the text.
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1975
ISSN: 0019-2082
DOI: 10.1215/ijm/1256050810