Minimal atlases of manifolds
Alberto Cavicchioli, Luigi Grasselli (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Alberto Cavicchioli, Luigi Grasselli (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Michael Kapovich (2005)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Izmestiev, Ivan, Joswig, Michael (2003)
Advances in Geometry
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Tadeusz Januszkiewicz, Jacek Świątkowski (2006)
Publications Mathématiques de l'IHÉS
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We introduce a family of conditions on a simplicial complex that we call local -largeness (≥6 is an integer). They are simply stated, combinatorial and easily checkable. One of our themes is that local 6-largeness is a good analogue of the non-positive curvature: locally 6-large spaces have many properties similar to non-positively curved ones. However, local 6-largeness neither implies nor is implied by non-positive curvature of the standard metric. One can think of these results as...
Burillo, José, Taback, Jennifer (2002)
The New York Journal of Mathematics [electronic only]
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Todea, Mihaela (2002)
Acta Universitatis Apulensis. Mathematics - Informatics
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R. Ayala, A. Quintero (1992)
Collectanea Mathematica
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Nicholaas H. Kuiper (1967)
Publications Mathématiques de l'IHÉS
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Joan Porti (2008)
RACSAM
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This is a survey about Thurston’s geometrization conjecture of three manifolds and Perelman’s proof with the Ricci flow. In particular we review the essential contribution of Hamilton as well as some results in topology relevants for the proof.