可测叠层的上同调
Cohomology of measurable laminations
摘要：
对MT-空间引入了一个新的上同调概念，MT-空间是可测拓扑空间，其可测结构可能与其拓扑的Borel $σ$ -代数不一致. MT空间的主要例子是可测叶理。这是一个奇异的版本的可测单纯上同调定义的Heitsch和Lazarov的叶状和扩展的Mendez的MT-空间。代数拓扑学的基本主题是适应，并应用到理论的叶状。此外，我们还引入了MT-空间的奇异L2-上同调的概念。
英文摘要：
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 $σ$-algebra of their topology. The main examples of MTspaces are measurable foliations. This is a singular version of the measurable simplicial cohomology defined by Heitsch and Lazarov for foliations and extended by Bermudez for MT-spaces. Basic topics of algebraic topology are adapted, and applications to the theory of foliations are given. Moreover we introduce a new notion of singular L2-cohomology for MT-spaces.
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