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${\mathcal{B}$-BOUNDED COHOMOLOGY AND APPLICATIONS

${\mathcal{B}$-BOUNDED COHOMOLOGY AND APPLICATIONS

A discrete group with word-length (G,L) is B-isocohomological for a bounding classes B if the comparison map from B-bounded cohomology to ordinary cohomology (with complex coefficients) is an isomorphism; it is strongly B-isocohomological if the same is true with arbitrary coefficients. In this paper we establish some basic conditions guaranteeing …