Cohomology of measurable laminations

被引:1
作者
Menino Coton, Carlos [1 ]
机构
[1] Univ Santiago de Compostela, Dept Xeometria & Topoloxia, Fac Matemat, Santiago De Compostela 15782, Spain
关键词
Cohomology; Lamination; Foliation; Standard Borel space; Excision; Wedge; Triangulation;
D O I
10.1016/j.topol.2013.01.020
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A new notion of cohomology is introduced for MT-spaces, which are measurable and topological spaces whose measurable structure may not agree with the Borel sigma-algebra of their topology. The main examples of MT-spaces are measurable foliations. This is a singular version of the measurable simplicial cohomology defined by Heitsch and Lazarov for foliations (Heitsch and Lazarov, 1991, [7]) and extended by Bermudez for MT-spaces (Bermudez, 2006, [1]). Basic topics of algebraic topology are adapted, and applications to the theory of foliations are given. Moreover we introduce a new notion of singular L-2-cohomology for MT-spaces. (C) 2013 Elsevier B.V. All rights reserved.
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页码:692 / 702
页数:11
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