Open AccessON An Infra-\(\alpha\)-Open Sets
Author(s) -
Hakeem A. Othman,
Md. Hanif Page
Publication year - 2016
Publication title -
global journal of mathematical analysis
Language(s) - English
Resource type - Journals
ISSN - 2307-9002
DOI - 10.14419/gjma.v4i3.6124
Subject(s) - generalization , open set , alpha (finance) , class (philosophy) , set (abstract data type) , characterization (materials science) , mathematics , topology (electrical circuits) , relation (database) , topological space , space (punctuation) , discrete mathematics , closed set , pure mathematics , computer science , combinatorics , physics , mathematical analysis , data mining , artificial intelligence , construct validity , statistics , operating system , optics , programming language , psychometrics
In this paper, we define a new class of set in general topology called an infra- \(\alpha\) open set and we investigate fundamental properties by using this new class. The relation between infra-\(\alpha\)-open set and other topological sets are studied. Moreover, In the light of this new definition, we also define some generalization of continuous mappings and discuss the relations between these new classes of mappings and other continuous mappings. Basic properties of these new mappings are studied and we apply these new classes to give characterization of connected space.