A tour of various (isometric, bi-Lipschitz, coarse, ...) embedding theorems for metric spaces into Banach spaces or other spaces with some extra structure.
Learning 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 / Notice
Basic knowledge in differential geometry and functional analysis
Performance assessment
Performance assessment information (valid until the course unit is held again)