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Titlebook: Cohomology Theories for Compact Abelian Groups; Karl H. Hofmann,Paul S. Mostert Textbook 19731st edition VEB Deutscher Verlag der Wissensc

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https://doi.org/10.1007/978-3-658-29699-5he functor . introduced in Chapter III (and the appendix, Chapter VI) which, when restricted to the discrete (hence finite) objects in the category yields the algebraic cohomology over a given module with the group operating trivially.
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The cohomological structure of compact abelian groups,he functor . introduced in Chapter III (and the appendix, Chapter VI) which, when restricted to the discrete (hence finite) objects in the category yields the algebraic cohomology over a given module with the group operating trivially.
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Introduction,study: Analysis enters through the representation theory and harmonic analysis; differential geometry, the theory of real analytic functions and the theory of differential equations come into the play via Lie group theory; point set topology is used in describing the local geometric structure of com
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Algebraic background, that follows. For a unified treatment, we consider ., for any module ., as a commutative graded .-algebra in which all elements of . have degree 2, so that in fact all homogeneous components of . of odd degree are zero. The functors ∧ and . are special instances of functors which we will call . (se
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The cohomology of classifying spaces of compact groups,ct abelian groups a little more self-contained. For the more experienced reader it will suffice to peruse this Chapter in order to be familiarized with our notation and definitions. The first Section discusses Milnor’s construction of the universal and the classifying space of a compact group, and o
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