Basic subtoposes of the effective topos

Annals of Pure and Applied Logic 164 (9):866-883 (2013)

Authors
Jaap Van Oosten
Leiden University
Abstract
We study the lattice of local operators in Hylandʼs Effective Topos. We show that this lattice is a free completion under internal sups indexed by the natural numbers object, generated by what we call basic local operators.We produce many new local operators and we employ a new concept, sight, in order to analyze these.We show that a local operator identified by A.M. Pitts in his thesis, gives a subtopos with classical arithmetic
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1016/j.apal.2013.04.001
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 39,626
Through your library

References found in this work BETA

The Medvedev Lattice of Computably Closed Sets.Sebastiaan A. Terwijn - 2006 - Archive for Mathematical Logic 45 (2):179-190.
A Model for Intuitionistic Non-Standard Arithmetic.Ieke Moerdijk - 1995 - Annals of Pure and Applied Logic 73 (1):37-51.
An Omniscience Principle, the König Lemma and the Hahn-Banach Theorem.Hajime Ishihara - 1990 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 36 (3):237-240.
Constructive Logic and the Medvedev Lattice.Sebastiaan A. Terwijn - 2006 - Notre Dame Journal of Formal Logic 47 (1):73-82.

View all 12 references / Add more references

Citations of this work BETA

A Kuroda-Style J -Translation.Benno van den Berg - forthcoming - Archive for Mathematical Logic:1-8.

Add more citations

Similar books and articles

Two Remarks on the Lifschitz Realizability Topos.Jaap van Oosten - 1996 - Journal of Symbolic Logic 61 (1):70-79.
What Do Freyd's Toposes Classify?Peter Johnstone - 2013 - Logica Universalis 7 (3):335-340.
Colimit Completions and the Effective Topos.Edmund Robinson & Giuseppe Rosolini - 1990 - Journal of Symbolic Logic 55 (2):678-699.
Categories, Toposes and Sets.J. L. Bell - 1982 - Synthese 51 (3):293 - 337.
Ultrapowers as Sheaves on a Category of Ultrafilters.Jonas Eliasson - 2004 - Archive for Mathematical Logic 43 (7):825-843.
Double-Slit Interference and Temporal Topos.Goro Kato & Tsunefumi Tanaka - 2006 - Foundations of Physics 36 (11):1681-1700.

Analytics

Added to PP index
2013-12-12

Total views
5 ( #924,889 of 2,325,375 )

Recent downloads (6 months)
1 ( #932,291 of 2,325,375 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature