Order ideals in categories

Aurelio Carboni; Ross Street

doi:10.2140/pjm.1986.124.275

Order ideals in categories

Aurelio Carboni, Ross Street

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

In the program to develop enriched category theory in a topos E it seems worthwhile to study the two particular bases Ω and R⁺; that is, the ordered objects of truth values and of non-negative extended reals with their appropriate monoidal structures. Categories in E enriched in Ω are ordered objects in E, and it is this example we wish to study here.

Original language	English
Pages (from-to)	275-288
Number of pages	14
Journal	Pacific Journal of Mathematics
Volume	124
Issue number	2
DOIs	https://doi.org/10.2140/pjm.1986.124.275
Publication status	Published - Jun 1986

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10.2140/pjm.1986.124.275

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abstract = "In the program to develop enriched category theory in a topos E it seems worthwhile to study the two particular bases Ω and R+; that is, the ordered objects of truth values and of non-negative extended reals with their appropriate monoidal structures. Categories in E enriched in Ω are ordered objects in E, and it is this example we wish to study here.",

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Order ideals in categories

Abstract

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