## 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.

### MSC:

 54B20 Hyperspaces in general topology 54C35 Function spaces in general topology
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### References:

 [1] Engelking, R., General topology, (1989), Heldermann Berlin · Zbl 0684.54001 [2] Michael, E., Topologies on spaces of subsets, Trans. amer. math. soc., 71, 152-182, (1951) · Zbl 0043.37902 [3] Mizokami, T., Hyperspaces of a Moore space and a d-paracompact space, Glasnik mat., 30, 69-72, (1995) · Zbl 0856.54011
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