Open AccessStructures, Operations and their Applications to Topology
Author(s) -
Geetha Jeyalakshmi R
Publication year - 2021
Publication title -
türk bilgisayar ve matematik eğitimi dergisi
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.218
H-Index - 3
ISSN - 1309-4653
DOI - 10.17762/turcomat.v12i2.1908
Subject(s) - topology (electrical circuits) , filter (signal processing) , ideal (ethics) , set (abstract data type) , base (topology) , space (punctuation) , topological space , computer science , general topology , mathematics , discrete mathematics , combinatorics , mathematical analysis , philosophy , epistemology , computer vision , programming language , operating system
A structure on a non empty set X is a collection of subsets of X. Any kind of topology on a non empty set X is a special structure on X. A filter and a filter base on X are examples of structures. Also any ideal of subsets of X is a structure. In this paper several structures are classified and the binary relations and operations on structures are discussed. Furthermore structures on a topological space are also discussed.