Preprint / scholarly article

Fractal Category Theory

K. Takahashi

Published
DOI
10.5281/zenodo.17292137

Abstract

A mixed indexing category is used to show that bilimit computations reduce to a small subpresentation under accessibility and preservation assumptions, yielding presentation-independent formulas and a tight link between ind-pro bicompletion and a fraction-style construction.

Keywords

  • category theory
  • frobenius monad
  • comonad
  • ind-completion
  • pro-completion
  • ind-pro bicompletion
  • kan extension
  • day convolution
  • lawvere metric
  • algebraic compactness
  • ambifixpoint
  • equivariant functor

Identifiers and source records