Turkish Journal of Computer and Mathematics Education
Journal license

Journal

Turkish Journal of Computer and Mathematics Education


Volume
& Issue

Volume 12, Issue 2


Published
on

April 5, 2021


Pages

2199-2203


DOI

Article

Structures, Operations and their Applications to Topology


Authors

Geetha Jeyalakshmi Ra* Affiliation:
Research Scholar, Department of Mathematics, The M.D.T Hindu College, Affiliated to Manonmaniam Sundaranar University, Tirunelveli -India
and Dass Kb Affiliation:
Department of Mathematics, The M.D.T. Hindu College, Tirunelveli-627010, India.


Abstract

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.


Keywords

Structure, hyper relation, hyper union, hyper intersection, micro relation


Citation

Ra, G. J. & Kb, D. (2021). Structures, operations and their applications to topology. Turkish Journal of Computer and Mathematics Education, 12(2), 2199–2203.

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