Right-angularity, flag complexes, asphericity
نویسندگان
چکیده
منابع مشابه
Right angularity, flag complexes, asphericity
The “polyhedral product functor” produces a space from a simplicial complex L and a collection of pairs of spaces, {(A(i), B(i))}, where i ranges over the vertex set of L. We give necessary and sufficient conditions for the resulting space to be aspherical. There are two similar constructions, each of which starts with a space X and a collection of subspaces, {Xi}, where i ∈ {0, 1 . . . , n}, a...
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Given a simplicial complex L with vertex set I and a familyA = {(A(i), B(i))}i∈I of pairs of spaces with base points ∗i ∈ B(i), there is a definition of the “polyhedral product” AL of A with respect to L . Sometimes this is called a “generalized moment angle complex”. This note concerns two refinements to earlier work of the first author. First, when L is infinite, the definition of polyhedral ...
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It is shown that conditions stronger in a certain sense than colorshifting cannot be placed on the class of colored complexes without changing the characterization of the flag f-vectors. In the late 1970s, Stanley [6] showed that two particular classes of simplicial complexes have equivalent characterizations of their flag f-vectors. Several years later, Björner, Frankl, and Stanley [1] showed ...
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2011
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-011-9654-4