ǂA ǂnew class of homology and cohomology 3-manifolds

Dennis Garity (Author), Umed H. Karimov (Author), Dušan Repovš (Author), Fulvia Spaggiari (Author)

Abstract

We show that for any set of primes ▫$\mathcal{P}$▫ there exists a space ▫$M_\mathcal{P}$▫ which is a homology and cohomology 3-manifold with coefficients in ▫$\mathbb{Z}_p$▫ for ▫$p \in \mathcal{P}$▫ and is not a homology or cohomology 3-manifold with coefficients in ▫$\mathbb{Z}_q$▫ for ▫$q \notin \mathcal{P}$▫. In addition, ▫$M_\mathcal{P}$▫ is not a homology or cohomology 3-manifold with coefficients in ▫$\mathbb{Z}$▫ or ▫$\mathbb{Q}$▫.

Keywords

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

Data

Language:	English
Year of publishing:	2016
Typology:	1.01 - Original Scientific Article
Organization:	UL FMF - Faculty of Mathematics and Physics
UDC:	515.14
COBISS:	17248089
ISSN:	1660-5446
Views:	509
Downloads:	396
Average score:	0 (0 votes)
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