On the position of abstract density topologies in the lattice of all topologies | Zendy

Sebastian Lindner | Zendy; Małgorzata Terepeta | Zendy

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On the position of abstract density topologies in the lattice of all topologies

Author(s) -

Sebastian Lindner,

Małgorzata Terepeta

Publication year - 2016

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1602281l

Subject(s) - mathematics , network topology , lattice (music) , connection (principal bundle) , relation (database) , topology (electrical circuits) , position (finance) , comparison of topologies , pure mathematics , combinatorics , topological space , general topology , geometry , extension topology , computer science , data mining , physics , finance , acoustics , economics , operating system

This work refers to well known concept of abstract density topologies, semi-open sets and some relation connected with these notions. Abstract density topologies were introduced by O. Haupt and Ch. Pauc in 1952 ([4]). The properties of such topologies were extensively examined by many mathematicians and we will make use of some of their results. The notion of semi-open sets appeared in 1963 in the article of by N. Levine ([7]). He also dened the relation of semi-correspondence between topologies. In the following paper we will show that there is a very close and strict connection between those classical concepts.

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