Cohomology of generalized Dold spaces

On the Cohomology of Generalized Homogeneous Spaces

We observe that work of Gugenheim and May on the cohomology of classical homogeneous spaces G/H of Lie groups applies verbatim to the calculation of the cohomology of generalized homogeneous spaces G/H, where G is a finite loop space or a p-compact group and H is a “subgroup” in the homotopical sense. We are interested in the cohomology H∗(G/H ; R) of a generalized homogeneous space G/H with co...

Tame Loci of Generalized Local Cohomology Modules

Let $M$ and $N$ be two finitely generated graded modules over a standard graded Noetherian ring $R=bigoplus_{ngeq 0} R_n$. In this paper we show that if $R_{0}$ is semi-local of dimension $leq 2$ then, the set $hbox{Ass}_{R_{0}}Big(H^{i}_{R_{+}}(M,N)_{n}Big)$ is asymptotically stable for $nrightarrow -infty$ in some special cases. Also, we study the torsion-freeness of graded generalized local ...

Extension functors of generalized local cohomology modules

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Cohomology of Algebraic Spaces

Cohomology of Braid Spaces

where C+F(R9 p) denotes the singular chains of F(R , p), and Zp{q) denotes the Ip-module Zp with 2P-action a • x = ( l) x for xeZp and a e Zp ( ( 1) S(<T) is the sign of a). Since the Enaction on F(R, p) is proper, we may identify H*(HomEp(C^F(« , p) ; Zp(2g))) with H*(B(R ,p); Zp) [5]. By abuse of notation we denote H*(Hom2 ( Q F ^ p ) ; Zp(g))) by H*(B(R\p);Zp(q)). The interest in H*(B(R, p) ...