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[null,"1.","Record Nr.",null,"UNINA9910480014403321"]
[null,null,"Autore",null,"Fulton William <1939->"]
[null,null,"Titolo",null,"Categorical framework for the study of singular spaces / / William Fulton and Robert MacPherson"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [1981]"]
[{"$nulls":4},"©1981"]
[null,null,"ISBN",null,"1-4704-0650-0"]
[null,null,"Descrizione fisica",null,"1 online resource (173 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 243"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"514/.24"]
[null,null,"Soggetti",null,"Homology theory"]
[{"$nulls":4},"Categories (Mathematics)"]
[{"$nulls":4},"Electronic books."]
[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","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Bibliography: pages 162-165."]
[null,null,"Nota di contenuto",null,"\"\"Table of Contents\"\"; \"\"Part I: Bivariant theories\"\"; \"\"Â1 Survey\"\"; \"\"1.1 Bivariant theories\"\"; \"\"1.2 Grothendieck transformations\"\"; \"\"1.3 Orientations and Gysin homomorphisms\"\"; \"\"1.4 Formules of Riemann-Roch type\"\"; \"\"1.5 An Example\"\"; \"\"1.6 Guide to [BT]\"\"; \"\"1.7 Acknowledgements\"\"; \"\"Â2 Bivariant Theories\"\"; \"\"2.1 The underlying category\"\"; \"\"2.2 Axioms for a bivariant theory\"\"; \"\"2.3 Associated contravariant and covariant functors\"\"; \"\"2.4 External products\"\"; \"\"2.5 Gysin homomorphisms\"\"; \"\"2.6 Orientations\"\"; \"\"2.7 Grothendieck transformations\"\"; \"\"Â3 Topological Theories\"\""]
[{"$nulls":4},"\"\"3.1 Construction of a bivariant theory from a cohomology theory\"\"\"\"3.2 Grothendieck transformations of topological theories\"\"; \"\"3.3 Supports\"\"; \"\"3.4 Specialization\"\"; \"\"Â4 Orientations in Topology\"\"; \"\"4.1 Normally non-singular maps\"\"; \"\"4.2 Cohomology operations\"\"; \"\"4.3 Differentiable Riemann-Roch\"\"; \"\"Â5 Transfer and Fixed Point Index\"\"; \"\"Â6 Whitney Classes\"\"; \"\"6.1 The bivariant theory FF\"\"; \"\"6.2 The Grothendieck transformation Ï?\"\"; \"\"6.3 Consequences of Theorem 6A\"\"; \"\"6.4 Proof of uniqueness of Ï?\"\"; \"\"6.5 Construction of Ï?\"\"; \"\"6.6 Applications\"\""]
[{"$nulls":4},"\"\"Â7 Grothendieck Duality and Derived Functors\"\"\"\"7.1 Grothendieck duality\"\"; \"\"7.2 Duality and Riemann-Roch\"\"; \"\"7.3 Homology from derived functors\"\"; \"\"7.4 Etale theory\"\"; \"\"Â8 Operational Theories\"\"; "]
[{"$nulls":4},"\"\"Â9 Rational Equivalence and Intersection Formulas\"\"; \"\"9.1 Operational rational equivalence theory\"\"; \"\"9.2 Intersection formulas\"\"; \"\"Â10 Other Bivariant Theories;  Open Problems\"\"; \"\"10.1 Fixed point theorems for coherent sheaves\"\"; \"\"10.2 Finite groups\"\"; \"\"10.3 Orientations in algebraic geometry\"\"; \"\"10.4 Chern classes\"\"; \"\"10.5 Equivariant Whitney classes\"\"; \"\"10.6 Verdier duality\"\""]
[{"$nulls":4},"\"\"10.7 Non-submersive maps in topology\"\"\"\"10.8 Independent squares for algebraic K-theory\"\"; \"\"10.9 Uniqueness questions\"\"; \"\"10.10 Analytic Riemann-Roch\"\"; \"\"10.11 Rational equivalence\"\"; \"\"10.12 Higher K-theory\"\"; \"\"10.13 Geometric interpretation of bivariant homology elements\"\"; \"\"Part II: Products in Riemann-Roch\"\"; \"\"Â0 Introduction\"\"; \"\"0.1 Some history\"\"; \"\"0.2 Summary of results\"\"; \"\"0.3 Plan of the proof\"\"; \"\"Â1 Statement of the theorem\"\"; \"\"1.1 Bivariant algebraic K-theory\"\"; \"\"1.2 Morphisms of finite Tor dimension\"\"; \"\"1.3 Local complete intersection morphisms\"\""]
[{"$nulls":4},"\"\"1.4 The Riemann-Roch theorem\"\"\"\"1.5 The Chern character\"\"; \"\"1.6 Riemann-Roch with supports\"\"; \"\"Â2 Complexes\"\"; \"\"2.1 Topological complexes\"\"; \"\"2.2 Some homological algebra\"\"; \"\"2.3 An application\"\"; \"\"2.4 The main lemma\"\"; \"\"Â3 Proof of the theorem\"\"; \"\"References\"\""]