Structures, Operations and their Applications to Topology

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 t...

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Bibliographic Details
Published in:Turkish journal of computer and mathematics education 2021-04, Vol.12 (2), p.2199-2203
Main Authors: Jeyalakshmi, Geetha R, Dass, K
Format: Article
Language:English
Subjects:
Mathematics
Topology
Online Access:Get full text
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Summary: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.
ISSN:1309-4653
1309-4653
DOI:10.17762/turcomat.v12i2.1908