Leray theorems for $l_1$-norms of infinite chains

Abstract

The paper is devoted to an adaptation of author's approach to Leray theorems in bounded cohomology theory to infinite chains. The main results are a stronger and more general form of Gromov's Vanishing-finiteness theorem and a generalization of the first part of his Cutting-of theorem. The proofs are elementary.

27 pages

References in corpus (1)

• Leray theorems in bounded cohomology theory

Cited by in corpus (1)

• On the simplicial volume and the Euler characteristic of (aspherical) manifolds