Izvorni znanstveni članak

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

Sažetak

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.

Ključne riječi

Orthogonality; internal saturation; calculus of fractions; shape; shape equivalences

Hrčak ID:

17943

URI

https://hrcak.srce.hr/17943

Datum izdavanja:

11.12.2007.

Posjeta: 1.258 *