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401-3510-18L  Metric Embedding Theorems

SemesterSpring Semester 2018
LecturersU. Lang
Periodicitynon-recurring course
Language of instructionEnglish


AbstractA tour of various (isometric, bi-Lipschitz, coarse, ...) embedding theorems for metric spaces into Banach spaces or other spaces with some extra structure.
Objective
Literature- Juha Heinonen, Geometric Embeddings of Metric Spaces, Lecture Notes, 2003, s. https://jyx.jyu.fi/dspace/handle/123456789/22520
- Mikhail I. Ostrovskii, Metric Embeddings: Bilipschitz and Coarse Embeddings into Banach Spaces, De Gruyter 2013
Prerequisites / NoticeBasic knowledge in differential geometry and functional analysis