Three-manifolds. Classical results

DOI10.1007/BF02362845zbMath0860.57001OpenAlexW1998764744MaRDI QIDQ1912501

Sergey V. Matveev

Publication date: 21 April 1997

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02362845

zbMATH Keywords

3-manifoldsSeifert manifoldssurfacesHeegaard splittingsHaken manifoldsgeometrical manifolds

Mathematics Subject Classification ID

Cites Work

• Complexity theory of three-dimensional manifolds
• Theorie der Normalflächen. Ein Isotopiekriterium für den Kreisknoten
• A representation of orientable combinatorial 3-manifolds
• A piecewise-linear method for triangulating 3-manifolds
• Additivity of complexity and Haken's method in the topology of three- dimensional manifolds
• An algorithm for recognizing \(S^ 3\) in 3-manifolds with Heegaard splittings of genus two
• Characteristic numbers of 3-manifolds
• On the classification of homeomorphisms of 2-manifolds and the classification of 3-manifolds
• Homotopy equivalences of 3-manifolds with boundaries
• On irreducible 3-manifolds which are sufficiently large
• Heegaard-Zerlegungen der 3-Sphäre
• Eine Klasse von 3-dimensionalen Mannigfaltigkeiten. I, II
• On involutions of the 3-sphere
• Transformations of finite period
• Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
• A Unique Decomposition Theorem for 3-Manifolds
• Constructing Framed 4-Manifolds with Given Almost Framed Boundaries
• THE PROBLEM OF DISCRIMINATING ALGORITHMICALLY THE STANDARD THREE-DIMENSIONAL SPHERE
• Heegaard Splittings of Branched Coverings of S 3
• THREE-MANIFOLDS AS 3-FOLD BRANCHED COVERS OF S³
• An Imbedding Theorem for Connected 3-Manifolds with Boundary
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