Quotient structure of interior-closure texture spaces

Autor:	Şenol Dost
Rok vydání:	2015
Předmět:	Algebra Cokernel General Mathematics Closure (topology) Structure (category theory) Closure operator Context (language use) Equivalence class Texture (geology) Quotient Mathematics
Zdroj:	Filomat. 29:947-962
ISSN:	2406-0933 0354-5180
DOI:	10.2298/fil1505947d
Popis:	In this paper, we consider quotient structure and quotient difunctions in the context of interior and closure operators on textures in the sense of Dikranjan-Giuli. The generalizations of several results concerning separation and quotient mapping are presented. It is shown that the category of interior-closure spaces and bicontinuous difunctions has a T0 reflection. Finally, we introduce some classes of quotient difunctions such as bi-initial and bi-final difunctions between interior-closure texture spaces.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7dce9375e1dd3ca564d09b3384a80491 https://doi.org/10.2298/fil1505947d Zobrazit plný text záznamu