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A new class of homology and cohomology 3-manifolds
ID
Garity, Dennis
(
Author
),
ID
Karimov, Umed H.
(
Author
),
ID
Repovš, Dušan
(
Author
),
ID
Spaggiari, Fulvia
(
Author
)
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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 ▫$\mathbb{Q}$▫.
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
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1044
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565
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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
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