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Titlebook: Cohomological Methods in Homotopy Theory; Barcelona Conference Jaume Aguadé,Carles Broto,Carles Casacuberta Conference proceedings 2001 Bir

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G. J. Dockray,E. R. Forster,S. M. Louisomology, (3) Hopf algebras given by loop space homology, (4) natural groups attached to connected Hopf algebras, (5) analogues of Artin’s (pure) braid group, (6) Alexander’s construction of knots arising from loop spaces, and (7) Vassiliev’s invariants of braids.
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https://doi.org/10.1007/978-0-387-84849-5variant Chern characters with values in Bredon cohomology with coefficients in the representation ring functor .(—)(tensored by the rationals). And this in turn is applied to prove some versions of the Atiyah-Segal completion theorem for real and complex .-theory in this setting.
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General Law of Differential Sensitivity,truction introduced in [9], involving spaces parameterized by a partially ordered set. In particular we present a construction, which turns a .-complex . in a canonical way into a proper .-complex Pr(X) of the same homotopy type, with control on the dimension of the new space.
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William C. de Groat,Naoki YoshimuraWe give a homotopy theoretical characterization of generalized Eilenberg-Mac Lane spaces which resembles the Γ-space structure used by Segal to describe infinite loop spaces.
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Christoph Stein,Christian ZöllnerWe consider the reduced homology of a group . with coefficients in the trivial module: .A group is said to be acyclic if its reduced homology vanishes. Many interesting classes of groups have been discovered having this property ([2] is a useful survey). This is an indication that the reduced homology carries limited information.
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Acid-Sensitive Ion Channels and ReceptorsWe give a new and relatively easy proof of the splitting theorem of the second author for the spaces in the Omega spectrum for . We then give the first published proofs of our similar theorems for the spectra .(.).
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Electrophysiology of sensory neuropathiesThe aim of this paper is to prove in full generality that a 1-connected mod .-space with noetherian mod p cohomology is, up to p-completion, the total space of a principal fibration with base a mod . finite .-space and fibre a product of a finite number of copies of ℂP.. The case . = 2 was considered in [5].
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