CORDIS Project
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This project explores the mathematical concept of metric spaces and their embeddings into Hilbert spaces, focusing on properties that relate to group theory. It aims to study the compression of groups and its implications for various mathematical conjectures.
Metric spaces, such as graphs, occur everywhere in mathematics and are used to model real life situations: in computer science e.g., they are used to model computer networks and in sociology, graphs are used to model interhuman relations.In order to study metric spaces, one can embed them into an object which one understands quite well.
The information that we know on the latter object may then provide useful information on the embedded metric space. A Hilbert space is a well understood mathemat…
UNIVERSITY OF SOUTHAMPTON
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