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143
HOMOLOGICAL LOCALIZATIONS OF EILENBERGMAC LANE SPECTRA
, 2005
"... We discuss the Bousfield localization LEX for any spectrum E and any HRmodule X, where R is a ring with unit. Due to the splitting property of HRmodules, it is enough to study the localization of Eilenberg–MacLane spectra. Using general results about stable flocalizations, we give a method to c ..."
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Cited by 2 (1 self)
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We discuss the Bousfield localization LEX for any spectrum E and any HRmodule X, where R is a ring with unit. Due to the splitting property of HRmodules, it is enough to study the localization of Eilenberg–MacLane spectra. Using general results about stable flocalizations, we give a method
DG CATEGORIES AS EILENBERGMAC LANE SPECTRAL ALGEBRA
, 2008
"... We construct a zigzag of Quillen equivalences between the homotopy theories of differential graded (=DG) and EilenbergMac Lane spectral (=HR) categories. As an application, every invariant of HRcategories gives rise to an invariant of DG categories. In particular, we obtain a welldefined topolo ..."
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We construct a zigzag of Quillen equivalences between the homotopy theories of differential graded (=DG) and EilenbergMac Lane spectral (=HR) categories. As an application, every invariant of HRcategories gives rise to an invariant of DG categories. In particular, we obtain a well
A MODEL FOR EQUIVARIANT EILENBERGMAC LANE SPECTRA
, 804
"... Abstract. Let G be a finite group. For a based Gspace X and a Mackey functor M, a topological Mackey functor X e⊗M is constructed. When X is a based GCW complex, X e⊗M is shown to be an infinite loop space in the sense of Gspaces. This gives a version of the RO(G)graded equivariant DoldThom the ..."
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Thom theorem. Applying a variant of Elmendorf’s construction, we get a model for the EilenbergMac Lane spectrum HM. The proof uses a structure theorem for Mackey functors and our previous results. Contents
Recognition principle for generalized EilenbergMac Lane Spaces, to appear
 in Proceedings of the Barcelona Conference on Algebraic Topology 1998 theories in homotopy theory 17
"... Abstract. We give a homotopy theoretical characterization of generalized Eilenberg–Mac Lane spaces which resembles the Γspace structure used by Segal to describe infinite loop spaces. ..."
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Abstract. We give a homotopy theoretical characterization of generalized Eilenberg–Mac Lane spaces which resembles the Γspace structure used by Segal to describe infinite loop spaces.
EilenbergMacLane Spaces in Homotopy Type Theory
"... Homotopy type theory is an extension of MartinLöf type theory with principles inspired by category theory and homotopy theory. With these extensions, type theory can be used to construct proofs of homotopytheoretic theorems, in a way that is very amenable to computerchecked proofs in proof assist ..."
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Cited by 3 (2 self)
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assistants such as Coq and Agda. In this paper, we give a computerchecked construction of EilenbergMacLane spaces. For an abelian group G, an EilenbergMacLane space K(G,n) is a space (type) whose nth homotopy group is G, and whose homotopy groups are trivial otherwise. These spaces are a basic tool
Localizations of abelian Eilenberg–Mac Lane spaces of finite type
, 1998
"... Abstract. Using recent techniques of unstable localization, we extend earlier results on homological localizations of Eilenberg{Mac Lane spaces, and show that several deep properties of such localizations can be explained by the preservation of certain algebraic structures under the eect of idempote ..."
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Cited by 13 (2 self)
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Abstract. Using recent techniques of unstable localization, we extend earlier results on homological localizations of Eilenberg{Mac Lane spaces, and show that several deep properties of such localizations can be explained by the preservation of certain algebraic structures under the eect
A∞–coalgebra structure on the Zphomology of EilenbergMac Lane spaces
 Proceedings EACA 2004
"... We study here the A(∞)coalgebra structure of the homology H∗(K(pi, n);Zp) of an EilenbergMac Lane space K(pi, n), where pi is a finitely generated abelian group and n is a positive integer. Using diverse techniques of homological perturbation, we get that the components ∆i(p−2)+2 of degree i(p − 2 ..."
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Cited by 3 (0 self)
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We study here the A(∞)coalgebra structure of the homology H∗(K(pi, n);Zp) of an EilenbergMac Lane space K(pi, n), where pi is a finitely generated abelian group and n is a positive integer. Using diverse techniques of homological perturbation, we get that the components ∆i(p−2)+2 of degree i
Polynomialtime homology for simplicial Eilenberg–MacLane spaces
 J. Foundat. of Comput. Mathematics
, 2013
"... Abstract In an earlier paper ofČadek, Vokřínek, Wagner, and the present authors, we investigated an algorithmic problem in computational algebraic topology, namely, the computation of all possible homotopy classes of maps between two topological spaces, under suitable restriction on the spaces. We ..."
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aim at showing that, if the dimensions of the considered spaces are bounded by a constant, then the computations can be done in polynomial time. In this paper we make a significant technical step towards this goal: we show that the EilenbergMacLane space K(Z, 1), represented as a simplicial group, can
Results 1  10
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143