000 | 03405nam a22005055i 4500 | ||
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001 | 978-3-642-31564-0 | ||
003 | DE-He213 | ||
005 | 20190213151457.0 | ||
007 | cr nn 008mamaa | ||
008 | 120828s2012 gw | s |||| 0|eng d | ||
020 |
_a9783642315640 _9978-3-642-31564-0 |
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024 | 7 |
_a10.1007/978-3-642-31564-0 _2doi |
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050 | 4 | _aQA613-613.8 | |
050 | 4 | _aQA613.6-613.66 | |
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_aPBMS _2bicssc |
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_aMAT038000 _2bisacsh |
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_aPBMS _2thema |
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_aPBPH _2thema |
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082 | 0 | 4 |
_a514.34 _223 |
100 | 1 |
_aHong, Sungbok. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aDiffeomorphisms of Elliptic 3-Manifolds _h[electronic resource] / _cby Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2012. |
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300 |
_aX, 155 p. 22 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2055 |
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505 | 0 | _a1 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. | |
520 | _aThis 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. | ||
650 | 0 |
_aCell aggregation _xMathematics. |
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650 | 1 | 4 |
_aManifolds and Cell Complexes (incl. Diff.Topology). _0http://scigraph.springernature.com/things/product-market-codes/M28027 |
700 | 1 |
_aKalliongis, John. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aMcCullough, Darryl. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aRubinstein, J. Hyam. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642315657 |
776 | 0 | 8 |
_iPrinted edition: _z9783642315633 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2055 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-642-31564-0 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c10811 _d10811 |