Spreads and the symmetric topos. II
type: Item
instance of: scholarly article
title: Spreads and the symmetric topos. II
zbMATH Open document ID: 0924.18001
DOI: 10.1016/S0022-4049(97)00086-8
published in: Journal of Pure and Applied Algebra
publication date: 1999-08-19T00:00:00Z
review text: In this paper [for part I, see ibid. 113, No. 1, 1-38 (1996; Zbl 0861.18004)] the following strong problems/results are studied/presented: - the pure dense/complete spread factorization is interpreted as a ``comprehensive factorization'' and compared with the work of \textit{R. Street} and \textit{R. F. C. Walters} [Bull. Am. Math. Soc. 79, 936-941 (1973; Zbl 0274.18001)]; -- the density of a distribution on a topos is described in terms of complete spreads (this analysis is used to show that a locally connected topos whose connected component functor preserves products is simply connected); -- a construction of the probability distribution classifier in terms of the finite non-empty connected limit completion of a small category; -- a characterization of the algebras for the symmetric monad that translates into a ``Waelbroeck'' theorem for toposes; -- the connection between complete spreads and the fundamental group of a topos.
Mathematics Subject Classification ID: 18B25
Mathematics Subject Classification ID: 18C15
Mathematics Subject Classification ID: 18A32
Mathematics Subject Classification ID: 54B30
zbMATH DE Number: 1308205
zbMATH Keywords: spread
zbMATH Keywords: topos
zbMATH Keywords: comprehensive factorization
author: Marta Bunge
author: Jonathon Funk
reviewed by: I. Tofan
MaRDI profile type: Publication
cites work: Q3926769
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cites work: The symmetric topos
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full work available at URL: s0022-4049(97)00086-8
OpenAlex ID: W1996984776
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description: scientific article; zbMATH DE number 1308205