Betweenness in Enriched Categories

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Event details

Date 13.11.2024
Hour 14:1515:30
Speaker Ruben Mud
Location
Category Conferences - Seminars
Event Language English

The geometrically intuitive notion of betweenness was first formally introduced by Pasch in 1882. Since then, it has found applications in graph theory, combinatorics, artificial intelligence, and circuit design. In this talk, we will argue that enriched categories form a natural framework to reason about betweenness geometry. It turns out that there is a functorial correspondence between the category of betweenness spaces and the category of enriched categories. Using this correspondence, we obtain new interpretations of betweenness with potential applications to causal discovery.

Practical information

  • Informed public
  • Free

Contact

  • Jerome Scherer

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