Poincaré and the early history of 3-manifolds

DOI10.1090/S0273-0979-2012-01385-XzbMath1255.57001WikidataQ56059289 ScholiaQ56059289MaRDI QIDQ4899978

John Stillwell

Publication date: 10 January 2013

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Related Items (5)

Poincaré's works leading to the Poincaré conjecture ⋮ Knotted portals in virtual reality ⋮ Analogy and Invention Some Remarks on Poincaré’s Analysis Situs Papers ⋮ Clustering in a hyperbolic model of complex networks ⋮ Poincaré's stated motivations for topology

Cites Work

• On Dehn's lemma and the asphericity of knots
• A representation of orientable combinatorial 3-manifolds
• The topology of four-dimensional manifolds
• Ein Verfahren zur Aufspaltung einer 3-Mannigfaltigkeit in irreduzible 3- Mannigfaltigkeiten
• The Jordan Curve Theorem and an unpublished manuscript by Max Dehn
• Die beiden Dodekaederräume
• On the triangulation of regular loci
• The isomorphism problem for hyperbolic groups. I
• Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
• The evolution of geometric structures on 3-manifolds
• On the algorithmic insolvability of the word problem in group theory
• An Unsolvable Problem of Elementary Number Theory
• On Computable Numbers, with an Application to the Entscheidungsproblem
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