Results 1 to 10 of about 80 (63)
Eilenberg–Mac Lane Spaces for Topological Groups [PDF]
Axioms, 2019 In this paper, we establish a topological version of the notion of an Eilenberg−Mac Lane space. If X is a pointed topological space, π 1 ( X ) has a natural topology coming from the compact-open topology on the space of maps S
Ged Corob Cook
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Postnikov towers with fibers generalized Eilenberg–Mac Lane spaces [PDF]
Homology, Homotopy and Applications, 2014 In the present paper, some basic properties of a generalized Postnikov tower (GPT) are established. Different authors give somewhat various definitions of GPTs, but the common feature is that the Eilenberg-MacLane spaces (in the classical Postnikov tower) are replaced by generalized Eilenberg-MacLane spaces (that is, products \(\prod_{i}K(\pi_i,n_i)\)).
Daisuke Kishimoto
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Spaces of sections of Eilenberg-Mac Lane fibrations [PDF]
Pacific Journal of Mathematics, 1987 We show first that the space of sections of a fibration with an Eilenberg-MacLane space as fibre has the weak homotopy type of a product of Eilenberg-MacLane spaces. Secondly, mapping spaces with twisted Eilenberg-MacLane spaces as targets are shown to be generalized twisted Eilenberg-MacLane spaces.
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Kan extension and stable homology of eilenberg-mac lane spaces
Topology, 1996 Forty years ago \textit{S. MacLane} defined the homology theory of rings [Centre Belge Rech. math., Colloque de Topologie algébrique, Louvain les 11, 12 et 13 juin 1956, 55-80 (1957; Zbl 0084.26703)]. Recently it was proved that this homology theory is isomorphic to the Bökstedt's topological Hochschild homology [the author and \textit{F.
Teimuraz Pirashvili
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K-Theory of Eilenberg-Mac Lane Spaces and Cell-Like Mapping Problem [PDF]
Transactions of the American Mathematical Society, 1993 There exist cell-like dimension raising maps of 6 6 -dimensional manifolds. The existence of such maps is proved by using K K -theory of Eilenberg-Mac Lane complexes.
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Self-maps on twisted Eilenberg-Mac Lane spaces [PDF]
Kodai Mathematical Journal, 1988 Let L be a space having at most two homotopy groups: thus \(L=K(\pi,1)x_{\phi}K(A,n)\) say where \(\phi: \pi\to \text{aut }A\) gives the action of the fundamental group. The author gives the monoids \((L,L)\) and \((L,L)\) ofbased and unbased homotopy classes of self-maps in terms of group-theoretic invariants.
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Recognition principle for generalized Eilenberg-Mac Lane spaces
, 2001 We give a homotopy theoretical characterization of generalized Eilenberg-Mac Lane spaces, modeled after Segal's characterization of infinite loop spaces via Gamma spaces.
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On the Complex Bordism of Eilenberg-Mac Lane Spaces and Connective Coverings of BU [PDF]
Transactions of the American Mathematical Society, 1971 exaly +3 more sources
The H𝔽2–homology of C2–equivariant Eilenberg–Mac Lane spaces
Algebraic & Geometric Topology, 2022 We extend Ravenel–Wilson Hopf ring techniques to C2–equivariant homotopy theory. Our main application and motivation is a computation of the RO.C2/–graded homology of C2–equivariant Eilenberg–Mac Lane spaces. The result we obtain for C2–equivariant Eilenberg–Mac Lane spaces associated to the constant Mackey functor F2 gives a C2–equivariant analogue of
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The equivariant structure of Eilenberg-Mac Lane spaces. I. The 𝑍-torsion free case [PDF]
Proceedings of the American Mathematical Society, 1987 The purpose of this paper is to continue the work begun in [7]. That paper described an obstruction theory for topologically realizing an (equivariant) chain-complex as the equivariant chain-complex of a CW-complex. The obstructions essentially turned out to be homological k k -invariants of Eilenberg-Mac Lane spaces and the key to ...
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