We show that for any set of primes P there exists a space M_P which is a homology and cohomology 3-manifold with coefficients in Z_p for p\in P and is not a homology or cohomology 3-manifold with coefficients in Z_q for $q\not\in P$. In addition, M_p is not a homology or cohomology 3-manifold with coefficients in Z or Q.
A New Class of Homology and Cohomology 3-Manifolds / Garity, D. J.; Karimov, U. H.; Repovs, D.; Spaggiari, Fulvia. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - STAMPA. - 13:3(2016), pp. 1277-1283. [10.1007/s00009-015-0549-8]
A New Class of Homology and Cohomology 3-Manifolds
SPAGGIARI, Fulvia
2016
Abstract
We show that for any set of primes P there exists a space M_P which is a homology and cohomology 3-manifold with coefficients in Z_p for p\in P and is not a homology or cohomology 3-manifold with coefficients in Z_q for $q\not\in P$. In addition, M_p is not a homology or cohomology 3-manifold with coefficients in Z or Q.
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