Open AccessNew finer topology from old via ideals
Author(s) -
A. Josephine Christilda,
R. Manoharan
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1377/1/012019
Subject(s) - topology (electrical circuits) , ideal (ethics) , product topology , set (abstract data type) , general topology , extension topology , comparison of topologies , network topology , initial topology , weak topology (polar topology) , mathematics , open set , space (punctuation) , topological space , computer science , discrete mathematics , combinatorics , philosophy , epistemology , programming language , operating system
Using ideals defined, on a set many new sets and topologies were defined by many authors. We define a new set (τ I - mini open set) in ideal space with the use of an ideal and later we proved the collection of that new sets has the properties of generating a new topology which we named as introduce a new topology called τ I - topology which is containing the actual topology τ.