Introduction to generalized topological spaces

Autor:	Irina Zvina
Jazyk:	angličtina
Rok vydání:	2011
Předmět:	Generalized topology Generalized topological space gt-space Compatible ideal Modulo ideal Frame Order generated by ideal Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Applied General Topology, Vol 12, Iss 1, Pp 49-66 (2011)
Druh dokumentu:	article
ISSN:	1576-9402 1989-4147
DOI:	10.4995/agt.2011.1701
Popis:	We introduce the notion of generalized topological space (gt-space). Generalized topology of gt-space has the structure of frame and is closed under arbitrary unions and finite intersections modulo small subsets. The family of small subsets of a gt-space forms an ideal that is compatible with the generalized topology. To support the definition of gt-space we prove the frame embedding modulo compatible ideal theorem. Weprovide some examples of gt-spaces and study key topological notions (continuity, separation axioms, cardinal invariants) in terms of generalized spaces.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/0b16cb0fb8634d8c85b02ef96db6a510 Zobrazit plný text záznamu View record in DOAJ