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

#### 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.
##### Scheda breve Scheda completa Scheda completa (DC)
2016
8-mar-2015
13
3
1277
1283
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]
Garity, D. J.; Karimov, U. H.; Repovs, D.; Spaggiari, Fulvia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1123000