Lawvere-Tierney sheaves in Algebraic Set Theory

Risultato della ricerca: Articlepeer review

Abstract

We present a solution to the problem of defining a counterpart in Algebraic Set Theory of the construction of internal sheaves in Topos Theory Our approach is general in that we consider sheaves as determined by Lawvere-Tierney coverages, rather than by Grothendieck coverages, and assume only a weakening of the axioms for small maps originally introduced by Joyal and Moerdijk, thus subsuming the existing topos-theoretic results.
Lingua originaleEnglish
pagine (da-a)861-890
Numero di pagine29
RivistaTHE JOURNAL OF SYMBOLIC LOGIC
Volume73
Stato di pubblicazionePublished - 2009

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