颂歌 发表于 2025-3-21 17:44:55
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The cohomology of classifying spaces of compact groups,d .—, ., where . is the algebraic cohomology with trivial action discussed in Chapter II. The reader may read Chapter VI (the appendix by E. Nummela) in conjunction with the current material; there he will find an alternate functorial construction of a classifying space.胆小懦夫 发表于 2025-3-22 01:03:12
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Sentiment Analysis in the Medical Domainat the Čech cohomology of a compact group space is the Kan extension of any of the standard cohomologies on manifolds applied to Lie group spaces, and that the cohomology of a classifying space of a compact totally disconnected group is the Kan extension of the algebraic cohomology of a finite group.发微光 发表于 2025-3-22 14:52:32
Algebraic background, a graded commutative R-algebra. The natural inclusion map Hom(G, . Hom (∧ .,. then extends uniquely to a morphism of graded B-algebras ∧ Hom(G, . Horn (A ., . In order to familiarize ourselves with the situation, we will calculate explicitly this morphism. Similar considerations pertain to the case of . in place of ∧.发微光 发表于 2025-3-22 19:15:15
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to their study: Analysis enters through the representation theory and harmonic analysis; differential geo metry, 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 struanthesis 发表于 2025-3-23 05:19:29
Levels and Tasks of Sentiment Analysisheory of differential equations come into the play via Lie group theory; point set topology is used in describing the local geometric structure of compact groups via limit spaces; global topology and the theory of manifolds again play a role through Lie group theory; and, of course, algebra enters through the cohomology and homology theory.fatty-streak 发表于 2025-3-23 06:15:44
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