Open AccessI2-convergence in T0 spaces
Author(s) -
Jing Lü,
Bin Zhao
Publication year - 2018
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/fil1814115l
Subject(s) - mathematics , convergence (economics) , modes of convergence (annotated index) , topological space , compact convergence , class (philosophy) , topology (electrical circuits) , pure mathematics , topological vector space , combinatorics , rate of convergence , isolated point , computer science , telecommunications , artificial intelligence , economics , economic growth , channel (broadcasting)
In this paper, we introduce the notion of I2-convergence in T0 spaces, and study the fundamental properties of I2-topology which is determined by I2-convergence according to the standard topological approach. Then, we give a sufficient condition for I2-convergence to be topological. Finally, we introduce a special class of T0 spaces, called IDC-spaces, and then present a sufficient and necessary condition for I2-convergence to be topological in IDC-spaces.