The embedding of a mapping space with compact open topology. (English) Zbl 0888.54014

Summary: We give an embedding theorem of a mapping space \(C_K(X,Y)\) with compact open topology in \(C_p({\mathcal C}(X),{\mathcal K}(Y))\) with pointwise convergence topology, where \({\mathcal K}(X)\), \({\mathcal K}(Y)\) are the hyperspaces of compact subsets with finite topology.


54B20 Hyperspaces in general topology
54C35 Function spaces in general topology
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