Spectra and the steenrod algebra
WebSpectra And The Steenrod Algebra: Modules Over The Steenrod Algebra And The Stable Homotopy Category by Harvey Rogert Margolis. Spectra And The Steenrod Algebra book. … WebForsiden - Universitetet i Oslo
Spectra and the steenrod algebra
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WebFrom this structure, the Steenrod reduced power operations arise; this was axiomatized in [May70]. One perspective would regard this as the structure of an E 1algebra on the function spectrum (HF p)X, parametrizing maps from Xinto an Eilenberg-Mac Lane spectrum. Power operations and the Adem relations between them do not make use of the ...
WebOn the hit problem for the Steenrod algebra in the generic degree and its applications. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, Vol. 116, Issue. 2, ... Hai, Generators for the mod 2 cohomology of the Steinberg summand of Thom spectra over B( Z/2)n, J. Algebra 381 (2013), 164–175. WebSome of these arise in topology (the ordinary stable homotopy category of spectra, categories of equivariant spectra, and Bousfield localizations of these), and others in algebra (coming from the representation theory of groups or of Lie algebras, as well as the derived category of a commutative ring).
WebIn this article a recognition principle for $\\infty$-loop pairs of spaces of connective commutative algebra spectra over connective commutative ring spectra is proved. This is done by generalizing the classical recognition principle for connective commutative ring spectra using relative operads. The machinery of idempotent quasiadjunctions is used to … Web2.1 Review of the dual Steenrod algebra The purpose of this subsection is to recall essential facts about the dual Steenrod algebra which will be essential for the rest of this paper. In [12], Milnor showed that the dual of the mod 2 Steenrod algebra is given by A = F 2[˘ k jk 1]; where ˘ k is in degree 2k 1. Since the Steenrod algebra A is a ...
In addition to the axiomatic structure the Steenrod algebra satisfies, it has a number of additional useful properties. Jean-Pierre Serre (1953) (for ) and Henri Cartan (1954, 1955) (for ) described the structure of the Steenrod algebra of stable mod cohomology operations, showing that it is generated by the Bockstein homomorphism together with the Steenrod reduced powers, and the Adem relations g…
WebSep 1, 1998 · In Section 1 the scene is set with a few remarks on the early history of the Steenrod algebra [Ascr ] at the prime 2 from a topologist's point of view, which puts into context some of the problems posed later. ... Generators for the mod 2 cohomology of the Steinberg summand of Thom spectra overB(Z/2)n. Journal of Algebra, Vol. 381, Issue. , p ... pearson active primaryWebThis ring is the Steenrod algebra. Remark 1.4. I’ve written this down as a colimit of cohomologies, but it might be better to think of it as the cohomology of some kind of limit of suspensions of Eilenberg-Mac Lane spaces along the maps above. This limit is what we’ll later call an ‘Eilenberg-Mac Lane spectrum’. 2 pearson add access codeWebJan 1, 1983 · This chapter describes Z p - cohomology and the steenrod algebra. The foundation of this chapter is the identification of the Hopf algebras A p, and [H(Z p), H(Z p)]*.This gives rise to functors from spectra to Ap-modules and the chapter argues that an optimal focus from the present point of view is the functor.It also proves a number of … meals with hillshire sausageWebThe Steenrod algebra A is a union of nite-dimensional sub-Hopf algebras. For example, A = S n A(n), where A(n) ˆA is a nite dimensional sub-Hopf algebra of the Steenrod algebra, generated as an algebra by fSq2iji n+1gif p=2andbyf ;Ppiji ngif pis odd. Recall that A is free as an A(n)-module. Lemma 2.1. 1. meals with ingredients in fridgeWebNorth-Holland Mathematical Library Spectra and the Steenrod Algebra: Modules over the Steenrod Algebra and the Stable Homotopy Category ScienceDirect.com by Elsevier. meals with ingredients deliveredWebJan 1, 1983 · This chapter describes Z p - cohomology and the steenrod algebra. The foundation of this chapter is the identification of the Hopf algebras A p, and [H(Z p), H(Z … pearson add textbookWebFeb 1, 1992 · In this paper we prove the existence of global nilpotence and global torsion bounds for the cohomology of any finite Hopf subalgebra of the Steenrod algebra for the prime 2. An explicit formula for computing such bounds is then obtained. This is used to compute bounds for H* (A n ) for n≤6 View via Publisher Save to Library Create Alert Cite meals with hot links