Continuous functions between sets with operations

  • Fumie Nakaoka Fukuoka University
  • Nobuyuki Oda Fukuoka University
Keywords: Continuous, operation


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.

Author Biographies

Fumie Nakaoka, Fukuoka University

Department of Applied Mathematics

Nobuyuki Oda, Fukuoka University

Department of Applied Mathematics