compact-open topology

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compact-open topology

[¦käm‚pakt ¦ō·pən tə′päl·ə·jē]
(mathematics)
A topology on the space of all continuous functions from one topological space into another; a subbase for this topology is given by the sets W (K,U) = {ƒ:ƒ(K)⊂ U }, where K is compact and U is open.
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