02840nam 2200649Ia 450 991045438590332120200520144314.01-281-34180-097866113418000-19-152569-3(CKB)1000000000535726(EBL)415068(OCoLC)437092142(SSID)ssj0000101037(PQKBManifestationID)11111474(PQKBTitleCode)TC0000101037(PQKBWorkID)10037521(PQKB)10553634(MiAaPQ)EBC415068(PPN)150813007(Au-PeEL)EBL415068(CaPaEBR)ebr10229898(CaONFJC)MIL134180(EXLCZ)99100000000053572620071017d2008 uy 0engur|n|---|||||txtccrAlgebraic models in geometry[electronic resource] /Yves Félix, John Oprea, Daniel TanréOxford Oxford University Press20081 online resource (483 p.)Oxford graduate texts in mathematics ;17Description based upon print version of record.0-19-920651-1 0-19-920652-X Includes bibliographical references and index.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; IndexA 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 topoOxford graduate texts in mathematics ;17.Homotopy theoryGeometry, AlgebraicElectronic books.Homotopy theory.Geometry, Algebraic.514.24Félix Y(Yves)893460Oprea John61874Tanré Daniel349245MiAaPQMiAaPQMiAaPQBOOK9910454385903321Algebraic models in geometry1995869UNINA