Precompact Sets in (LM)-Spaces and Dual Metric Spaces
This chapter presents unified and direct proofs of Pfister, Cascales and Orihuela and Valdivia’s theorems about metrizability of precompact sets in (LF)-spaces, (DF)-spaces and dual metric spaces, respectively. The proofs do not require the typical machinery of quasi-Suslin spaces, upper semicontinuous compact-valued maps and so on.
KeywordsDirect Proof Elementary Approach Countable Subset Descriptive Topology Convex Envelope
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