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Convergence of sequences of inverse functions. (English) Zbl 0752.40003

Summary: The paper deals with a partial solution of the problem: given a convergence \(f_ n\to f_ 0\) of mappings, state conditions under which \(f_ n^{-1}\to f_ 0^{-1}\).

MSC:

40A30 Convergence and divergence of series and sequences of functions
54E45 Compact (locally compact) metric spaces

Keywords:

metric space