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 originale | English |
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pagine (da-a) | 861-890 |
Numero di pagine | 29 |
Rivista | THE JOURNAL OF SYMBOLIC LOGIC |
Volume | 73 |
Stato di pubblicazione | Published - 2009 |