Compact complement topology

In mathematics, the compact complement topology is a topological structure defined on the set $\scriptstyle\mathbb{R}$ of real numbers, defined by declaring a subset $\scriptstyle X \subseteq \mathbb{R}$ open iff its complement $\scriptstyle\mathbb{R} - X$ is compact in the standard Euclidean topology on $\scriptstyle\mathbb{R}$ .

[edit] References

Lynn Arthur Steen and J. Arthur Seebach, Jr., Counterexamples in Topology. Springer-Verlag, New York, 1978. Reprinted by Dover Publications, New York, 1995. ISBN 0-486-68735-X (Dover edition).

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This page was last modified 18:28, 9 February 2008 by Wikipedia user Jj137. Based on work by Wikipedia user(s) Michael Hardy, Cronholm144, Alaibot and David Radcliffe and Anonymous user(s) of Wikipedia.
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