A Short Study of Alexandroff Spaces

Details A Short Study of Alexandroff Spaces A Short Study of Alexandroff Spaces

2007-08-16

arxiv.org/abs/0708.2136v1

Mathematics

General Topology

10 pages

Scientific paper

In this paper, we discuss the basic properties of Alexandroff spaces. Several
examples of Alexandroff spaces are given. We show how to construct new
Alexandroff spaces from given ones. Finally, two invariants for compact
Alexandroff spaces are defined and calculated for the given examples.

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