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Record Nr. |
UNINA9910818932403321 |
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Autore |
Roe John <1959-> |
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Titolo |
Coarse cohomology and index theory on complete Riemannian manifolds / / John Roe |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1993 |
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©1993 |
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ISBN |
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Descrizione fisica |
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1 online resource (106 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 497 |
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Disciplina |
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Soggetti |
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Riemannian manifolds |
Homology theory |
Index theory (Mathematics) |
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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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"July 1993, Volume 104, Number 497 (fourth of 6 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Basic properties of coarse cohomology""; ""2.1. The uniformly bornologous categories""; ""2.2. Definition of coarse theory""; ""2.3. Examples""; ""2.4. Product structure on coarse theory""; ""Chapter 3. Computation of coarse cohomology""; ""3.1. Review of Cech theory""; ""3.2. The main theorem""; ""3.3. Alternative definitions of coarse theory""; ""3.4. When is c an isomorphism?""; ""3.5. Bornotopy""; ""3.6. Examples""; ""Chapter 4. Cyclic cohomology and index theory""; ""4.1. Operator algebras""; ""4.2. The Connes character map"" |
""6.5. Applications to the signature operator""""6.6. Relation with the Novikov conjecture""; ""References"" |
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