The fundamental 2-crossed complex of a reduced CW-complex
نویسندگان
چکیده
منابع مشابه
On the Homotopy Type and the Fundamental Crossed Complex of the Skeletal Filtration of a CW-Complex
We prove that if M is a CW-complex, then the homotopy type of the skeletal filtration of M does not depend on the cell decomposition of M up to wedge products with n-disks D, when the later are given their natural CW-decomposition with unique cells of order 0, (n − 1) and n; a result resembling J.H.C. Whitehead’s work on simple homotopy types. From the Colimit Theorem for the Fundamental Crosse...
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Crossed complexes are shown to have an algebra sufficiently rich to model the geometric inductive definition of simplices, and so to give a purely algebraic proof of the Homotopy Addition Lemma (HAL) for the boundary of a simplex. This leads to the fundamental crossed complex of a simplicial set. The main result is a normalisation theorem for this fundamental crossed complex, analogous to the u...
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ژورنال
عنوان ژورنال: Homology, Homotopy and Applications
سال: 2011
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2011.v13.n2.a9