English

Characterizing partitioned assemblies and realizability toposes

Category Theory 2018-08-06 v2

Abstract

We give simple characterizations of the category PAsm(A) of partitioned assemblies, and of the realizability topos RT(A) over a partial combinatory algebra A. This answers the question for an 'extensional characterization' of realizability toposes.

Keywords

Cite

@article{arxiv.1404.6997,
  title  = {Characterizing partitioned assemblies and realizability toposes},
  author = {Jonas Frey},
  journal= {arXiv preprint arXiv:1404.6997},
  year   = {2018}
}
R2 v1 2026-06-22T04:00:28.667Z