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Université
de Fribourg, Suisse
Faculté des Sciences Département de mathématiques |
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Analysis and geometry of metric spaces I-II 2014 - 2015
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| Patrick Ghanaat |
MA.3568 - MA.3569
MA.4568 - MA.4569 |
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Course content
Metric spaces and isometries, topological notions, Baire's theorem, compactness criteria, embedding theorems, dimension theory, Hausdorff distance, Gromov compactness, measures, curvature bounds Table of contents References
Hausdorff: Mengenlehre Burago, Burago, Ivanov: A course in metric geometry Heinonen: Geometric embeddings of metric spaces Brudnyi, Brudnyi: Methods of geometric analysis in extension and trace problems Hurewicz, Wallman: Dimension theory Gromov: Metric structures for Riemannian and non-Riemannian spaces Further references will be given in class. |
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