Uniform bases at non-isolated points and maps

Details Uniform bases at non-isolated points and maps Uniform bases at non-isolated points and maps

2011-06-21

arxiv.org/abs/1106.4135v1

Houston Journal. Math., 37(2)(2011), 677--688

Mathematics

General Topology

9 pages

Scientific paper

In this paper, the authors mainly discuss the images of spaces with an uniform base at non-isolated points, and obtain the following main results: (1)\ Perfect maps preserve spaces with an uniform base at non-isolated points; (2)\ Open and closed maps preserve regular spaces with an uniform base at non-isolated points; (3)\ Spaces with an uniform base at non-isolated points don't satisfy the decomposition theorem.

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