Article
Structures, Operations and their Applications to Topology
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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.
G. J. Ra and D. Kb, “Structures, operations and their applications to topology,” Turkish Journal of Computer and Mathematics Education, vol. 12, no. 2, pp. 2199–2203, 2021.
Ra GJ, Kb D. Structures, operations and their applications to topology. Turkish Journal of Computer and Mathematics Education. 2021;12(2):2199–2203.
Ra, G. J. and Kb, D. (2021), ‘Structures, operations and their applications to topology’, Turkish Journal of Computer and Mathematics Education, 12(2), pp. 2199–2203.
Ra, Geetha Jeyalakshmi, and Dass Kb. “Structures, Operations and Their Applications to Topology.” Turkish Journal of Computer and Mathematics Education, vol. 12, no. 2, 2021, pp. 2199–2203.
Ra, Geetha Jeyalakshmi, and Dass Kb. “Structures, Operations and Their Applications to Topology.” Turkish Journal of Computer and Mathematics Education 12, no. 2 (2021): 2199–2203.
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Published by: Engineering Journals


