Diagram spaces, diagram spectra and spectra of units
نویسندگان
چکیده
منابع مشابه
Diagram Spaces, Diagram Spectra, and Fsp’s
This is one of several papers in which we explore the interrelationships among certain categories that can be taken as models for spectra and (highly structured) ring spectra. In this paper, we study certain categories of “diagram ring spectra” that are isomorphic to corresponding categories of “functors with smash product (FSP’s)”. The notion of an FSP was introduced by Bökstedt [2], and his u...
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We review and extend the theory of Thom spectra and the associated obstruction theory for orientations. Specifically, we show that for an E∞ ring spectrum A, the classical construction of gl1A, the spectrum of units, is the right adjoint of the functor Σ∞+ Ω ∞ : ho(connective spectra) → ho(E∞ ring spectra). To a map of spectra f : b → bgl1A, we associate an E∞ A-algebra Thom spectrum Mf , which...
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The aim of this work is to study some lattice diagram polynomials ∆D(X, Y ) as defined in [4] and to extend results of [3]. We recall that MD denotes the space of all partial derivatives of ∆D. In this paper, we want to study the space M i,j(X, Y ) which is the sum of MD spaces where the lattice diagrams D are obtained by removing k cells from a given partition, these cells being in the “shadow...
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The aim of this work is to study some lattice diagram determinants ∆L(X, Y ) as defined in [5] and to extend results of [3]. We recall that ML denotes the space of all partial derivatives of ∆L. In this paper, we want to study the space M i,j(X, Y ) which is defined as the sum of ML spaces where the lattice diagrams L are obtained by removing k cells from a given partition, these cells being in...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2013
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2013.13.1857