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| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Journal of Functional Analysis |
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| Verlag: | ACADEMIC PRESS INC ELSEVIER SCIENCE |
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| Ort der Veröffentlichung: | SAN DIEGO |
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| Band: | 276 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 7 |
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| Seitenbereich: | S. 2103-2155 |
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| Datum: | 2019 |
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| Institutionen: | Mathematik
Mathematik > Prof. Dr. Bernd Ammann |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1016/j.jfa.2018.08.014 | DOI |
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| Stichwörter / Keywords: | CURVATURE; K-homology; K-theory; Bounded geometry; Poincare duality |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 48852 |
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Zusammenfassung
We revisit Spakula's uniform K-homology, construct the external product for it and use this to deduce homotopy invariance of uniform K-homology. We define uniform K-theory and on manifolds of bounded geometry we give an interpretation of it via vector bundles of bounded geometry. We further construct a cap product with uniform K-homology and prove Poincare duality between uniform K-theory and ...
Zusammenfassung
We revisit Spakula's uniform K-homology, construct the external product for it and use this to deduce homotopy invariance of uniform K-homology. We define uniform K-theory and on manifolds of bounded geometry we give an interpretation of it via vector bundles of bounded geometry. We further construct a cap product with uniform K-homology and prove Poincare duality between uniform K-theory and uniform K-homology on spin(c) manifolds of bounded geometry. (C) 2018 Elsevier Inc. All rights reserved.
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