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

倫理學(xué)

Morphometry in greater auricular nerveWe give three different cohomological characterizations of classifying spaces of p-compact toral groups amongst finite Postnikov systems satisfying mild conditions. This leads to a unifying generalization of previous versions of Serre’s theorem on the homotopy groups of a finite complex.

小溪

Optic-Disk

,Etale approximations and the mod ? cohomology of ,,,In this paper, we present counter-examples to the unstable version of a conjecture postulating the relationship between cohomology of arithmetic groups and the “etale models” of their classifying spaces.

腫塊

Recognition principle for generalized Eilenberg-Mac Lane spaces,We 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.

虛假

細(xì)胞學(xué)

Unstable splittings related to Brown-Peterson cohomology,We 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 .(.).

現(xiàn)代

On the homotopy type of infinite stunted projective spaces,Consider the space ., . ?P∞/?P. together with the boundary map in the Barratt-Puppe sequence

JECT

Structure of mod ,,-spaces with finiteness conditions,The 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 ?P.. The case . = 2 was considered in [5].

Harrowing

textile

,The Thomified Eilenberg—Moore spectral sequence,In this paper we will construct a generalization of the Eilenberg-Moore spectral sequence, which in some interesting cases turns out to be a form of the Adams spectral sequence. We recall the construction of both of these in general terms.