On monotonically orthocompact spaces

Jiang Shouli and Xu Yuming

Abstract

In this paper we study some properties of transitive neighbornets, and make use of them to discuss the properties of ortho-refinable spaces. We prove that ortho-refinable spaces are irreducible and iso-compact, that every closed subspace of an ortho-refinable space is ortho-refinable, and other related results.

Keywords
neighbornets, ortho-refinable, irreducible, iso-compact, open mapping

Math Review Classification
Primary 54D99 ; Secondary 54D30

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