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|z (OCoLC)922981527
|z (OCoLC)1259251516
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|a QA649
|b .R645 1993eb
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|a 516.3/73
|2 20
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|a UAMI
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|a Roe, John,
|d 1959-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PBJvMxkr3d6vF46pTbBJYyd
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1 |
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|a Coarse cohomology and index theory on complete Riemannian manifolds /
|c John Roe.
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| 264 |
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1 |
|a Providence, Rhode Island :
|b American Mathematical Society,
|c 1993.
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| 264 |
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|c ©1993
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| 300 |
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|a 1 online resource (106 pages) :
|b illustrations
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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1 |
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|a Memoirs of the American Mathematical Society,
|x 0065-9266 ;
|v Number 497
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|a "July 1993, Volume 104, Number 497 (fourth of 6 numbers)."
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|a Includes bibliographical references.
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|a Print version record.
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|a 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
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|a ""4.3. Index theory""""4.4. The computation for R[sup(2m)]""; ""4.5. The general index theorem (even case)""; ""4.6. The odd case""; ""Chapter 5. Coarse cohomology and compactification""; ""5.1. Higson's corona space""; ""5.2. K[sub(*)](B[sub(H)]) and K[sub(*)](vM)""; ""5.3. The transgression map""; ""5.4. Relation to index theory""; ""Chapter 6. Examples and Applications""; ""6.1. Index theorem for partitioned manifolds""; ""6.2. Ultraspherical manifolds""; ""6.3. Application to positive scalar curvature""; ""6.4. Application to KÃ?hler manifolds""
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|a 6.5. Applications to the signature operator6.6. Relation with the Novikov conjecture -- References
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| 546 |
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|a English.
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 650 |
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|a Riemannian manifolds.
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| 650 |
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|a Homology theory.
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| 650 |
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|a Index theory (Mathematics)
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| 650 |
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6 |
|a Variétés de Riemann.
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| 650 |
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6 |
|a Homologie.
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| 650 |
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6 |
|a Théorie de l'index (Mathématiques)
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| 650 |
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7 |
|a Homology theory
|2 fast
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| 650 |
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7 |
|a Index theory (Mathematics)
|2 fast
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| 650 |
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7 |
|a Riemannian manifolds
|2 fast
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| 758 |
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|i has work:
|a Coarse cohomology and index theory on complete Riemannian manifolds (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGWmvQWJCvddDTWrhHrF83
|4 https://id.oclc.org/worldcat/ontology/hasWork
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| 776 |
0 |
8 |
|i Print version:
|a Roe, John, 1959-
|t Coarse cohomology and index theory on complete Riemannian manifolds.
|d Providence, Rhode Island : American Mathematical Society, ©1993
|h ix, 90 pages
|k Memoirs of the American Mathematical Society ; Number 497
|x 0065-9266
|z 9780821825594
|
| 830 |
|
0 |
|a Memoirs of the American Mathematical Society ;
|v no. 497.
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114027
|z Texto completo
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| 936 |
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|a BATCHLOAD
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|a ProQuest Ebook Central
|b EBLB
|n EBL3114027
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|b EBRY
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|b IZTAP
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