Glasnik matematički, Vol. 42 No. 2, 2007.
Original scientific paper
https://doi.org/10.3336/gm.42.2.06
Orthogonality, saturation and shape
Luciano Stramaccia
; Dipartimento di Matematica e Informatica, Università di Perugia, via Pascoli, 06123 Perugia, Italia
Abstract
The class of shape equivalences for a pair (C, K) of categories is the orthogonal of K, that is Σ = K . Then Σ is internally saturated (Σ = Σ ). On the other hand, every internally saturated class of morphisms Σ Mor(C), is the class of shape equivalences for some pair (C, K). Moreover, every class of shape equivalences Σ enjoys a calculus of left fractions and such a fact allows one to use techniques from categories of fractions to obtain conditions for Σ to be reflective or proreflective in C.
Keywords
Orthogonality; internal saturation; calculus of fractions; shape; shape equivalences
Hrčak ID:
17943
URI
Publication date:
11.12.2007.
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