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.
@article{bwmeta1.element.doi-10_2478_v10037-006-0011-2,
author = {Yatsuka Nakamura},
title = {Connectedness and Continuous Sequences in Finite Topological Spaces},
journal = {Formalized Mathematics},
volume = {14},
year = {2006},
pages = {93-100},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-006-0011-2}
}
Yatsuka Nakamura. Connectedness and Continuous Sequences in Finite Topological Spaces. Formalized Mathematics, Tome 14 (2006) pp. 93-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-006-0011-2/
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