compact-open topology


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.