Open uniform (G) at non-isolated points and maps

zbMATH Open1223.54018arXiv1106.4136MaRDI QIDQ3012596

Fucai Lin, Shou Lin

Publication date: 6 July 2011

Abstract: In this paper, we mainly introduce the notion of an open uniform (G) at non-isolated points, and show that a space $X$ has an open uniform (G) at non-isolated points if and only if $X$ is the open boundary-compact image of metric spaces. Moreover, we also discuss the inverse image of spaces with an open uniform (G) at non-isolated points. Two questions about open uniform (G) at non-isolated points are posed.

Full work available at URL: https://arxiv.org/abs/1106.4136

zbMATH Keywords

perfect mapsdevelopable at non-isolated pointsopen and \(k\)-to-one mapsopen uniform (G) at non-isolated pointsuniform base at non-isolated points

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Special maps on metric spaces (54E40) Moore spaces (54E30) Base properties of topological spaces (54D70)

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