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Cotuple - A Trip to Category Theory and Back

on YouTube 05m
Lightningat C++Now 2022 · 2022-05-01..05-06· [c-and-cpp]

speaker

name:Tobias Löw
links:none on file

resources

video:https://youtu.be/79x81Xai8rc
slides:none on file

summary

Explains that a C++ struct implements the categorical product with projection methods corresponding to getters and a unique mediating function that builds the tuple from two maps, while std::variant implements the categorical coproduct with injections (constructors) and the unique mediating morphism realized as std::visit/overload pattern matching. Shows the concrete isomorphism claims and practical mappings between category theory diagrams and C++ types and operators, and that the mappings hold as usable code patterns.

AI-written summary · about

chapters (11)

  1. 0:00Intro
  2. 0:27Types
  3. 0:42Projections
  4. 1:42Code
  5. 2:03Fun Fact
  6. 2:13Code Tuple
  7. 2:40Unique Function
  8. 2:54Tuples
  9. 3:18Isomorphic
  10. 3:36Limiting Cone
  11. 4:06Takeaway

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