Infinite loop spaces and nilpotent K–theory
نویسندگان
چکیده
منابع مشابه
Categories of Spectra and Infinite Loop Spaces
At the Seattle conference, I presented a calculation of H,(F;Zp) as an algebra, for odd primes p, where F = lim F(n) and F(n) is the topological monoid > of homotopy equivalences of an n-sphere. This computation was meant as a preliminary step towards the computation of H*(BF;Zp). Since then, I have calculated H*(BF;Zp), for all primes p, as a Hopf algebra over the Steenrod and Dyer-Lashof alge...
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In [4] Lawvere formalized the concept of an algebraic theory defined by operations and laws without existential quantifiers. Examples are the theories of monoids, groups, loops, rings, modules etc., whose axioms can be put into the required form; although not the theory of fields. The advantage of this approach lies in the unified treatment of a variety of universal constructions, especially th...
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It is shown that an infinite loop space with no odd torsion in its integral homology also has no odd torsion in its homotopy. Combined with known results of Steve Wilson, this gives a complete classification; all such spaces are products of the Wilson spaces, which are the building blocks of the spaces in the omega spectrum for BP .
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We study natural subalgebras ChE(G) of group cohomology defined in terms of infinite loop spaces E and give representation theoretic descriptions of those based on QS and the Johnson-Wilson theories E(n). We describe the subalgebras arising from the Brown-Peterson spectra BP and as a result give a simple reproof of Yagita’s theorem that the image of BP ∗(BG) in H∗(BG;Fp) is F -isomorphic to the...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2017
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2017.17.869