Continuous Mappings between Finite and One-Dimensional Finite Topological Spaces
Hiroshi Imura, Masami Tanaka, Yatsuka Nakamura · 2004
Summary. We showed relations between separateness and inflation operation. We also gave some relations between separateness and connectedness defined before. For two finite topological spaces, we defined a continuous function from one to another. Some topological concepts are preserved by such continuous functions. We gave one-dimensional concrete models of finite topological space.