Continuous functions between sets with operations | Zendy

Fumie Nakaoka | Zendy; Nobuyuki Oda | Zendy

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Continuous functions between sets with operations

Author(s) -

Fumie Nakaoka,

Nobuyuki Oda

Publication year - 2020

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2020.24.15

Subject(s) - linear subspace , generalization , mathematics , topological space , set (abstract data type) , space (punctuation) , pure mathematics , topology (electrical circuits) , type (biology) , algebra over a field , discrete mathematics , computer science , combinatorics , mathematical analysis , ecology , biology , programming language , operating system

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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