Vol. 124, No. 2, 1986

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Order ideals in categories

Aurelio Carboni and Ross Street

Vol. 124 (1986), No. 2, 275–288
Abstract

In the program to develop enriched category theory in a topos 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 enriched in Ω are ordered objects in , and it is this example we wish to study here.

Mathematical Subject Classification 2000
Primary: 18D25
Secondary: 03G30, 18D20
Milestones
Received: 15 February 1984
Published: 1 October 1986
Authors
Aurelio Carboni
Ross Street
Department of Mathematics
Macquarie University
2109
Australia
www.maths.mq.edu.au/~street