The geometry and fundamental groups of solenoid complements

DOI10.1142/S0218216515500698zbMath1334.57002arXiv1212.0128OpenAlexW2272227702MaRDI QIDQ3465788

Mark H. Meilstrup, Gregory R. Conner, Dušan D. Repovš

Publication date: 22 January 2016

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0128

zbMATH Keywords

embeddingfundamental groupinverse limit3-manifoldsolenoidbraidknot complementJaco-Shalen-Johannson decompositionMostow-Prasad rigidity

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05) Algebraic topology of manifolds (57N65)

Uses Software

• SnapPea

Cites Work

• Unnamed Item
• Abelian groups without elements of finite order
• A characterization of the subgroups of the additive rationals
• A Simple Closed Curve is the Only Homogeneous Bounded Plane Continuum that Contains an Arc
• Inverse Limit Sequences with Covering Maps
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)
• Remarks on Certain Pathological Open Subsets of 3-Space and Their Fundamental Groups

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