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Aspects of uniformly finite homology

Diana, Francesca (2015) Aspects of uniformly finite homology. PhD, Universität Regensburg.

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Date of publication of this fulltext: 16 Jan 2015 10:50

Abstract (English)

Uniformly finite homology was introduced by Block and Weinberger to study large-scale structures of metric spaces having bounded geometry. It is a coarse invariant in the sense that quasi-isometric metric spaces have isomorphic uniformly finite homology. In this thesis several aspects of uniformly finite homology are studied. In particular, we compute the uniformly finite homology of finitely ...

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Translation of the abstract (German)

In dieser Dissertation, untersuchen wir verschiedene Aspekte der gleichmäßig-beschränkten Homologie. Wir berechnen die gleichmäßig-beschränkte Homologie von endlich erzeugten amenable Gruppen in vielen Fällen. Wir untersuchen die Injektivität von einigen Kreuzprodukt-Abbildungen für die gleichmäß-beschränkte Homologie und wir beweisen dass die gleichmäßig-beschränkte Homologie von Produkten ...

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Item type:Thesis of the University of Regensburg (PhD)
Date:16 January 2015
Referee:Prof. Dr. Clara Löh
Date of exam:22 December 2014
Institutions:Mathematics > Prof. Dr. Ulrich Bunke
Keywords:geometric group theory, coarse geometry, homology of groups
Dewey Decimal Classification:500 Science > 500 Natural sciences & mathematics
500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:31224
Owner only: item control page

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