4.4 Article

A New Class of Homology and Cohomology 3-Manifolds

Journal

MEDITERRANEAN JOURNAL OF MATHEMATICS
Volume 13, Issue 3, Pages 1277-1283

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s00009-015-0549-8

Keywords

Cohomology 3-manifold; cohomological dimension; Borel-Moore homology; Cech cohomology; Milnor-Harlap exact sequence; lens space; ANR

Funding

  1. Slovenian Research Agency [BI-US/13-14-027, P1-0292-0101, J1-4144-0101, J1-5435-0101, J1-6721-0101]

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We show that for any set of primes there exists a space which is a homology and cohomology 3-manifold with coefficients in for and is not a homology or cohomology 3-manifold with coefficients in for . In addition, is not a homology or cohomology 3-manifold with coefficients in Z or Q.

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