ǂA ǂnew class of homology and cohomology 3-manifolds

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

Povzetek

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 ▫$\mathbb{Q}$▫.

Ključne besede

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

Podatki

Jezik:	Angleški jezik
Leto izida:	2016
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	515.14
COBISS:	17248089
ISSN:	1660-5446
Št. ogledov:	509
Št. prenosov:	396
Ocena:	0 (0 glasov)
Metapodatki: