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UNINA9910816640003321 |
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Autore |
Félix Y (Yves) |
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Titolo |
Algebraic models in geometry [[electronic resource] /] / Yves Félix, John Oprea, Daniel Tanré |
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Pubbl/distr/stampa |
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Oxford, : Oxford University Press, 2008 |
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ISBN |
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1-383-03455-9 |
1-281-34180-0 |
9786611341800 |
0-19-152569-3 |
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Descrizione fisica |
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1 online resource (483 p.) |
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Collana |
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Oxford graduate texts in mathematics ; ; 17 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Homotopy theory |
Geometry, Algebraic |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Preface; Contents; 1 Lie groups and homogeneous spaces; 2 Minimal models; 3 Manifolds; 4 Complex and symplectic manifolds; 5 Geodesics; 6 Curvature; 7 G-spaces; 8 Blow-ups and Intersection Products; 9 A Florilège of geometric applications; A: De Rham forms; B: Spectral sequences; C: Basic homotopy recollections; References; Index |
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Sommario/riassunto |
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A text aimed at both geometers needing the tools of rational homotopy theory to understand and discover new results concerning various geometric subjects, and topologists who require greater breadth of knowledge about geometric applications of the algebra of homotopy theory. - ;Rational homotopy is a very powerful tool for differential topology and geometry. This text aims to provide graduates and researchers with the tools necessary for the use of rational homotopy in geometry. Algebraic Models in Geometry has been written for topologists who are drawn to geometrical problems amenable to topo |
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