In this paper we study compacta Y that are resolvable by a free p-adic action on compactum of lower dimension and focus whose cohomological with respect to the group Z[1/p] is 1.

A group has homological dimension ≤ 1 if it is locally free. We prove the converse provided that G satisfies the Atiyah Conjecture about L -Betti numbers. We also show that a finitely generated elementary amenable group G of cohomological dimension ≤ 2 possesses a finite 2dimensional model for BG and in particular that G is finitely presented and the trivial ZG-module Z has a 2-dimensional reso...

Using cohomological methods we discuss several issues related to chiral anomalies in noncommutative U(N) YM theories in any even dimension. We show that for each dimension there is only one solution of the WZ consistency condition and that there cannot be any reducible anomaly, nor any mixed anomaly when the gauge group is a product group. We also clarify some puzzling aspects of the issue of t...

We establish some sufficient conditions for the profinite and prop completions of an abstract group G of type FPm (resp of finite cohomological dimension, of finite Euler characteristics) to be of type FPm over the field Fp for a fixed natural prime p (resp. of finite cohomological p-dimension, of finite Euler p-characteristics). We apply our methods for orientable Poincaré duality groups G of ...

In this paper, we show that the CR $Q$-curvature is orthogonal to space of pluriharmonic functions on any closed strictly pseudoconvex manifold dimension at least five. To end, obtain a cohomological expression integral product and function.

The goal of this paper is to study the action groups on Zassenhaus and lower central filtrations finitely generated pro-p groups. We shall focus semisimple case. Particular attention given presented cohomological dimension less than or equal two.

This theorem seems to come tantalizingly close to supplying counter-examples to the Eilenberg–Ganea conjecture, which asserts that any group of cohomological dimension 2 admits a (not necessarily finite) 2-dimensional Eilenberg–Mac Lane space. Indeed, I don’t know of any example of a finitely-presented group with an infinite 2-dimensional K(Γ, 1) but not a finite one, but such things surely exi...

Using a result of Harer, we prove certain upper bounds for the homotopical/cohomological dimension of the moduli spaces of Riemann surfaces of compact type, of Riemann surfaces with rational tails and of Riemann surfaces with at most k rational components. These bounds would follow from conjectures of Looijenga and Roth-

We prove that if a positively-graded ring R is Gorenstein and the associated torsion functor has finite cohomological dimension, then the corresponding noncommutative projective scheme Tails(R) is a Gorenstein category in the sense of [10]. Moreover, under this condition, a (right) recollement relating Gorensteininjective sheaves in Tails(R) and (graded) Gorenstein-injective R-modules is given.

We discuss secondary (and higher) characteristic classes for algebraic vector bundles with trivial top Chern class. We then show that if X is a smooth affine scheme of dimension d over a field k of finite 2cohomological dimension (with char(k) 6= 2) and E is a rank d vector bundle over X , vanishing of the Chow-Witt theoretic Euler class of E is equivalent to vanishing of its top Chern class an...