Structures, Operations and their Applications to Topology | Zendy

Et. al. Geetha Jeyalakshmi R | Zendy

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Structures, Operations and their Applications to Topology

Author(s) -

Et. al. 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) , topological space , base (topology) , general topology , space (punctuation) , mathematics , computer science , 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.

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