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[null,"1.","Record Nr.",null,"UNINA9910483671403321"]
[null,null,"Autore",null,"Hong Sungbok"]
[null,null,"Titolo",null,"Diffeomorphisms of elliptic 3-manifolds / / Sungbok Hong ... [et al.]"]
[null,null,"Pubbl/distr/stampa",null,"Berlin ; ; Heidelberg, : Springer Verlag, 2012"]
[null,null,"ISBN",null,"3-642-31564-X"]
[null,null,"Edizione",null,"[1st ed. 2012.]"]
[null,null,"Descrizione fisica",null,"1 online resource (X, 155 p. 22 illus.)"]
[null,null,"Collana",null,"Lecture notes in mathematics ; ; 2055"]
[null,null,"Disciplina",null,"514.34"]
[null,null,"Soggetti",null,"Diffeomorphisms"]
[{"$nulls":4},"Three-manifolds (Topology)"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (p. 145-147) and index."]
[null,null,"Nota di contenuto",null,"1 Elliptic 3-manifolds and the Smale Conjecture -- 2 Diffeomorphisms and Embeddings of Manifolds -- 3 The Method of Cerf and Palais -- 4 Elliptic 3-manifolds Containing One-sided Klein Bottles -- 5 Lens Spaces."]
[null,null,null,"Sommario/riassunto","This work concerns the diffeomorphism groups of 3-manifolds, in particular of elliptic 3-manifolds. These are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature, now known to be exactly the closed 3-manifolds that have a finite fundamental group. The (Generalized) Smale Conjecture asserts that for any elliptic 3-manifold M, the inclusion from the isometry group of M to its diffeomorphism group is a homotopy equivalence. The original Smale Conjecture, for the 3-sphere, was proven by J. Cerf and A. Hatcher, and N. Ivanov proved the generalized conjecture for many of the elliptic 3-manifolds that contain a geometrically incompressible Klein bottle. The main results establish the Smale Conjecture for all elliptic 3-manifolds containing geometrically incompressible Klein bottles, and for all lens spaces L(m,q) with m at least 3. Additional results imply that for a Haken Seifert-fibered 3 manifold V, the space of Seifert fiberings has contractible components, and apart from a small list of known exceptions, is contractible. Considerable foundational and background material on diffeomorphism groups is included."]