compact complement topology

In mathematics, the compact complement topology is a topological structure defined on the set Failed to parse (unknown function\scriptstyle): \scriptstyle\mathbb{R}

of real numbers, defined by declaring a subset

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open iff its complement

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is compact in the standard Euclidean topology on

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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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