An ‘Unsitely’ Result on Atomic Morphisms

Peter Johnstone
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Peter Johnstone: University of Cambridge, Department of Pure Mathematics

A chapter in Papers in Honour of Bernhard Banaschewski, 2000, pp 7-15 from Springer

Abstract: Abstract We give an ‘elementary’ proof, without mentioning sites, that any section of an atomic geometric morphism is open, and any section of a connected atomic morphism is an open surjection. Previously, these results were known only for bounded morphisms. As a by-product, we obtain a proof that any connected atomic morphism with a section is necessarily bounded

Keywords: atomic morphism; topos theory.; 18B25 (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-2529-3_2

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DOI: 10.1007/978-94-017-2529-3_2

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