Topics on Analysis in Metric Spaces
This book presents the main mathematical prerequisites for analysis in metric spaces. It covers abstract measure theory, Hausdorff measures, Lipschitz functions, covering theorums, lower semicontinuity of the one-dimensional Hausdorff measure, Sobolev spaces of maps between metric spaces, andGromov-Hausdorff theory, all developed ina general metric setting. The existence of geodesics (and more generally of minimal Steiner connections) is discussed on general metric spaces and as an application of the Gromov-Hausdorff theory, even in some cases when the ambient space is not locallycompact. A brief and very general description of the theory of…
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Produktdetails
Weitere Autoren: Tilli, Paolo
- ISBN: 978-0-19-852938-5
- EAN: 9780198529385
- Produktnummer: 22667958
- Verlag: OXFORD UNIV PR
- Sprache: Englisch
- Erscheinungsjahr: 2004
- Seitenangabe: 144 S.
- Masse: H23.4 cm x B16.6 cm x D1.3 cm 331 g
- Reihenbandnummer: 25
- Gewicht: 331
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