nLab
Kleene-Vesley topos

Contents

Context

Constructivism, Realizability, Computability

Topos Theory

topos theory

Background

Toposes

Internal Logic

Topos morphisms

Extra stuff, structure, properties

Cohomology and homotopy

In higher category theory

Theorems

Contents

Idea

The effective part of the function realizability topos RT(𝒦 2)RT(\mathcal{K}_2).

References

This construction in realizability goes back to

  • Stephen Kleene, R. E. Vesley, The foundations of intuitionistic mathematics,North-Holland (1965)

The Kleene-Vesley topos as such is discussed for instance in

  • Jaap van Oosten, page 279 of Realizability: an introduction to its categorical side, Studies in Logic and the Foundations of Mathematics, vol. 152, Elsevier, 2008 (preface pdf)

Last revised on March 8, 2014 at 07:42:34. See the history of this page for a list of all contributions to it.