منابع مشابه
The Cohomology of Classifying Spaces of H-spaces
Let G denote an associative iï-space with unit (e.g. a topological group). We will show that the relations between G and a classifying space B Q axe more readily displayed using a geometric analog of the resolutions of homological algebra. The analogy is quite sharp, the stages of the resolution, whose base is BQ, determine a filtration of BQ. The resulting spectral sequence for cohomology is i...
متن کاملLoop Spaces of H-spaces with Finitely Generated Cohomology
Let p be an odd prime. We assume that all spaces are completed at p in the sense of Bousfield-Kan [2], and the cohomologies are taken with Z/pcoefficients unless otherwise specified. In this paper, we investigate the homotopy type for the loop space of an H-space whose cohomology is finitely generated as an algebra. In the case of the cohomology is finite dimensional, there is the following the...
متن کاملSecondary Steenrod Operations in Cohomology of Infinite-Dimensional Projective Spaces
The important role of the Steenrod operations Sq in the description of the cohomology of topological spaces, the calculation of various spectral sequences, and the study of homotopy properties of topological spaces and their continuous maps is well known [1, 2]. Projective spaces, in particular RP∞ and CP∞ , play a special role in the construction of Steenrod operations and their computation. I...
متن کاملCohomology operations and algebraic geometry
This manuscript is based on a ten hours series of seminars I delivered in August of 2003 at the Nagoya Institute of Technology as part of the workshop on homotopy theory organized by Norihiko Minami and following the Kinosaki conference in honor of Goro Nishida. One of the most striking applications of homotopy theory in “exotic” contexes is Voevodsky’s proof of the Milnor Conjecture. This conj...
متن کاملHigher Homotopy Commutativity of H-spaces with Finitely Generated Cohomology
Suppose X is a simply connected mod p H-space such that the mod p cohomology H∗(X;Z/p) is finitely generated as an algebra. Our first result shows that if X is an An-space, then X is the total space of a principal An-fibration with base a finite An-space and fiber a finite product of CP∞s. As an application of the first result, it is shown that if X is a quasi Cp-space, then X is homotopy equiv...
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ژورنال
عنوان ژورنال: Publicacions Matemàtiques
سال: 1982
ISSN: 0214-1493
DOI: 10.5565/publmat_26382_16