Open AccessOn a topology between Tα and Tγα
Author(s) -
Dimitrije Andrijević
Publication year - 2019
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/fil1910209a
Subject(s) - mathematics , closure (psychology) , topology (electrical circuits) , class (philosophy) , topological space , space (punctuation) , general topology , product topology , pure mathematics , combinatorics , discrete mathematics , computer science , artificial intelligence , economics , market economy , operating system
Using the topology T in a topological space (X,T), a new class of generalized open sets called ?-preopen sets, is introduced and studied. This class generates a new topology Tg which is larger than T? and smaller than T??. By means of the corresponding interior and closure operators, among other results, necessary and sufficient conditions are given for Tg to coincide with T? , T? or T??.