A new class of homology and cohomology 3-manifolds

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

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 ▫$\mathbb{Q}$▫.

• Jezik: Angleški jezik
• Ključne besede: cohomology 3-manifold, cohomological dimension, Borel-Moore homology, Čech cohomology, Milnor-Harlap exact sequence, lens space, ANR
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2016
• Št. strani: Str. 1277-1283
• Številčenje: Vol. 13, iss. 3
• PID: 20.500.12556/RUL-111088
• UDK: 515.14
• ISSN pri članku: 1660-5446
• DOI: 10.1007/s00009-015-0549-8
• COBISS.SI-ID: 17248089
• Datum objave v RUL: 23.09.2019

Gradivo je del revije

• Naslov: Mediterranean journal of mathematics
• Skrajšan naslov: Mediterr. j. math.
• Založnik: Springer Nature, Birkhäuser
• ISSN: 1660-5446
• COBISS.SI-ID: 13561433