Connectedness and Continuous Sequences in Finite Topological Spaces

Yatsuka Nakamura

doi:10.2478/v10037-006-0011-2

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Connectedness and Continuous Sequences in Finite Topological Spaces

Formalized Mathematics

Volume 14 (2006): Issue 3 (September 2006)

By: Yatsuka Nakamura

Open Access

|Jun 2008

Abstract

First, equivalence conditions for connectedness are examined for a finite topological space (originated in [9]). Secondly, definitions of subspace, and components of the subspace of a finite topological space are given. Lastly, concepts of continuous finite sequence and minimum path of finite topological space are proposed.

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