Metric Spaces, Entropic Spaces and Convexity in Category Theory

Metric Spaces, Entropic Spaces and Convexity in Category Theory

Topos Institute via YouTube Direct link

Introduction

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Introduction

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Classroom Contents

Metric Spaces, Entropic Spaces and Convexity in Category Theory

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  1. 1 Introduction
  2. 2 Background
  3. 3 Convexity monads
  4. 4 Rational convexity monads
  5. 5 Metric spaces
  6. 6 Convex metric spaces
  7. 7 Optimal transport
  8. 8 Classical metric spaces
  9. 9 Convex metrics
  10. 10 Underlying category
  11. 11 convexity
  12. 12 convex quantiles

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