The locally connected coclosure of a Grothendieck topos

Autor:	Jonathon Funk
Rok vydání:	1999
Předmět:	Locally connected space Discrete mathematics Mathematics::Logic Class (set theory) Pure mathematics Algebra and Number Theory Mathematics::Category Theory Mathematics::General Topology Cover (algebra) Topos theory Mathematics
Zdroj:	Journal of Pure and Applied Algebra. 137:17-27
ISSN:	0022-4049
DOI:	10.1016/s0022-4049(97)00168-0
Popis:	Locally connected Grothendieck toposes are shown to be coreflective in Grothendieck toposes. We refer to this coreflection as locally connected coclosure. The locally connected coclosure of a localic topos is localic. A topos and its locally connected coclosure are seen to have equivalent categories of Lawvere distributions. A class of locales is produced whose locally connected coclosures are trivial. We show how the locally connected coclosure can be described in terms of the locally connected coclosure of a localic cover.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::72662d8d6f8299b3a4e5090a229f2e4e https://doi.org/10.1016/s0022-4049(97)00168-0 Zobrazit plný text záznamu Full Text from ScienceDirect