Topology Proceedings 30 No. 1 (2006), pp. 341-349

Images of Relatively Locally Finite Hausdorff Spaces

Ellen Mir

This paper answers some of the questions posed by A. V. Arhangel`skii and I. Yu. Gordienko in [Relatively locally finite Hausdorff spaces, Questions and Answers in General Topology 12 (1994), no. 1, 15-25] concerning the representation of certain spaces as images of relatively locally finite Hausdorff spaces. In particular, it is shown that the convergent sequence is the image of a relatively locally finite Hausdorff space under a continuous open mapping. An example of a relatively locally finite Hausdorff space which is not Baire is also constructed.

Keywords: Baire space, discrete space, Hausdorff space, relatively locally finite space

Mathematics Subject Classification: 54A10 54A25 54C10 54D10

Document formats: PDF file 167.8 Kb

Topology Proceedings, Volume 30, No. 1 (2006)
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