Four function space topologies Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/np193d85p

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  • This paper defines four function space topologies, characterizes two of them in terms of more familiar concepts, and compares the four topologies. Then in the cases of the two less familiar topologies we have considered several common properties of topological spaces and attempted to answer the following question: If the range space has a given property, does the function space necessarily have the same property?
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