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On expansions and pro-pro-categories (CROSBI ID 150690)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Uglešić, Nikica ; Matijević, Vlasta On expansions and pro-pro-categories // Glasnik matematički, 45 (2010), 1; 173-217

Podaci o odgovornosti

Uglešić, Nikica ; Matijević, Vlasta

engleski

On expansions and pro-pro-categories

If (C, D) is a category pair such that D⊆ C is a pro-reflective subcategory, then so is D⊆ pro-C and, inductively, D⊆ proⁿ C as well. The key fact is that the terms and morphisms of D-expansions of all the terms of a C-system can be naturally organized in a D-expansion of the system. Therefore, in dealing with expansions, there is no need to involve the pro-pro-category technique. In particular, the shape of a C-system, as well as of a C-object, reduces to the isomorphism class of a D-system. On the other hand, a pro-pro-category could be useful for some other purposes because it admits functorial expansions which are inverse limits. Some applications of the theoretical part are considered, especially, concerning the Stone-Čech compactification and Hewitt realcompactification.

pro-category; pro-pro-category; expansion; pro-reflective subcategory; shape; Stone-Čech compactification; Hewitt realcompactification

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Podaci o izdanju

45 (1)

2010.

173-217

objavljeno

0017-095X

Povezanost rada

Matematika

Indeksiranost