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

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

2011-06-21

arxiv.org/abs/1106.4136v1

Questions and Answers in General topology, 28(2010), 147--156

Mathematics

General Topology

10 pages

Scientific paper

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.

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