منابع مشابه
Essential Category Weight and Classifying Spaces
The main result of this paper is a characterization of those maps f : BG−→Y with essential category weight at least N . This leads to simple geometric proofs of results of Whitehead, Ginsburg, Toomer, Krasnoselkii, Eilenberg and Ganea. We discover that the E∞ term of the Eilenberg-Moore spectral sequence is the graded algebra on H∗(X) associated to the filtration of H∗(X) by essential category ...
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In this paper first we define the morphism between geometric spaces in two different types. We construct two categories of $uu$ and $l$ from geometric spaces then investigate some properties of the two categories, for instance $uu$ is topological. The relation between hypergroups and geometric spaces is studied. By constructing the category $qh$ of $H_{v}$-groups we answer the question...
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If G is a connected compact Lie group, then for almost all prime numbers p the mod p cohomology ring of the classifying space BG is a finitely generated polynomial algebra. In 1961, N. Steenrod [24] asked in general for a determination of all spaces X such that H∗(X,Fp) is a finitely generated polynomial algebra (i.e., such that X has a polynomial cohomology ring); at that time, the only exampl...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 1995
ISSN: 1370-1444
DOI: 10.36045/bbms/1103408749