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On distinct finite covers of 3-manifolds
- Source :
- Indiana University Mathematics Journal, Indiana University Mathematics Journal, 2021, 70 (2), pp.809-846. ⟨10.1512/iumj.2021.70.8357⟩
- Publication Year :
- 2021
- Publisher :
- HAL CCSD, 2021.
-
Abstract
- Every closed orientable surface S has the following property: any two connected covers of S of the same degree are homeomorphic (as spaces). In this, paper we give a complete classification of compact 3-manifolds with empty or toroidal boundary which have the above property. We also discuss related group-theoretic questions.<br />Comment: 29 pages. V3: Implements suggestions from a referee report. This version has been accepted for publication by IUMJ
- Subjects :
- Pure mathematics
Property (philosophy)
Degree (graph theory)
General Mathematics
010102 general mathematics
Boundary (topology)
Geometric Topology (math.GT)
Surface (topology)
01 natural sciences
Subgroup growth
[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]
Mathematics - Geometric Topology
[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]
FOS: Mathematics
0101 mathematics
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 00222518
- Database :
- OpenAIRE
- Journal :
- Indiana University Mathematics Journal, Indiana University Mathematics Journal, 2021, 70 (2), pp.809-846. ⟨10.1512/iumj.2021.70.8357⟩
- Accession number :
- edsair.doi.dedup.....ed0d331f90e51e32e2e3697ae1ef5991
- Full Text :
- https://doi.org/10.1512/iumj.2021.70.8357⟩