The notion of lexicographic sum is introduced in general categories. Existence criteria are derived, particularly for locally cartesuan closed categories and for categories with suitable coproducts. Lexicographic sums satisfy a generalised associative law. More importantly, every morphism can be factored through the lexicographic sum of its fibres. This factorisation and the two types of maps arising from it, fibre-trivial and fibre-faithful, are studied partcularly for partially ordered sets and for T1-spaces

Lexicographic sums and fibre-faithful maps

TOZZI, Anna
1993-01-01

Abstract

The notion of lexicographic sum is introduced in general categories. Existence criteria are derived, particularly for locally cartesuan closed categories and for categories with suitable coproducts. Lexicographic sums satisfy a generalised associative law. More importantly, every morphism can be factored through the lexicographic sum of its fibres. This factorisation and the two types of maps arising from it, fibre-trivial and fibre-faithful, are studied partcularly for partially ordered sets and for T1-spaces
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/23286
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