Continuous functions between sets with operations
DOI:
https://doi.org/10.12697/ACUTM.2020.24.15Keywords:
Continuous, operationAbstract
A set with an operation is a generalization of a topological space. Two types of continuous functions are dened between sets with operations. They are characterized making use of two types of closures and interiors. Homeomorphisms between sets with operations are also characterized. Variants of subspaces, connected spaces and compact spaces are introduced in a set with an operation and some fundamental properties of them are proved.
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