KIONKE, STEFFEN ; LÖH, CLARA
Alternative Links zum Volltext:DOIVerlag
| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Glasgow Mathematical Journal |
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| Verlag: | CAMBRIDGE UNIV PRESS |
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| Ort der Veröffentlichung: | NEW YORK |
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| Band: | 63 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 3 |
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| Seitenbereich: | S. 563-583 |
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| Datum: | 2021 |
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| Institutionen: | Mathematik > Prof. Dr. Clara Löh |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1017/S0017089520000385 | DOI |
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| Stichwörter / Keywords: | 55N10; 12J25; 46S10; 57M20 |
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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: | 56013 |
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Zusammenfassung
We define and study generalizations of simplicial volume over arbitrary seminormed rings with a focus on p-adic simplicial volumes. We investigate the dependence on the prime and establish homology bounds in terms of p-adic simplicial volumes. As the main examples, we compute the weightless and p-adic simplicial volumes of surfaces. This is based on an alternative way to calculate classical ...
Zusammenfassung
We define and study generalizations of simplicial volume over arbitrary seminormed rings with a focus on p-adic simplicial volumes. We investigate the dependence on the prime and establish homology bounds in terms of p-adic simplicial volumes. As the main examples, we compute the weightless and p-adic simplicial volumes of surfaces. This is based on an alternative way to calculate classical simplicial volume of surfaces without hyperbolic straightening and shows that surfaces satisfy mod p and p-adic approximation of simplicial volume.
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