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Title of Journal: Geom Dedicata

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Abbravation: Geometriae Dedicata

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Springer Netherlands

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10.1016/0166-0462(76)90024-7

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1572-9168

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Criteria for asphericity of polyhedral products c

Authors: Michael W Davis Peter H Kropholler
Publish Date: 2015/03/28
Volume: 179, Issue: 1, Pages: 39-44
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Abstract

Given a simplicial complex L with vertex set I and a family mathbf A=AiBi iin I of pairs of spaces with base points iin Bi there is a definition of the “polyhedral product” mathbf AL of mathbf 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 product needs clarification Second the earlier paper omitted some subtle parts of the necessary and sufficient conditions for polyhedral products to be aspherical Correct versions of these necessary and sufficient conditions are given in the present paper

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  16. Explicit computation of the Chern character forms
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