A new class of homology and cohomology 3-manifolds

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

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 ▫$\mathbb{Q}$▫.

• Language: English
• Keywords: cohomology 3-manifold, cohomological dimension, Borel-Moore homology, Čech cohomology, Milnor-Harlap exact sequence, lens space, ANR
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2016
• Number of pages: Str. 1277-1283
• Numbering: Vol. 13, iss. 3
• PID: 20.500.12556/RUL-111088
• UDC: 515.14
• ISSN on article: 1660-5446
• DOI: 10.1007/s00009-015-0549-8
• COBISS.SI-ID: 17248089
• Publication date in RUL: 23.09.2019

Record is a part of a journal

• Title: Mediterranean journal of mathematics
• Shortened title: Mediterr. j. math.
• Publisher: Springer Nature, Birkhäuser
• ISSN: 1660-5446
• COBISS.SI-ID: 13561433