A characterization of open mapping in terms of convergent sequences

HIGHLIGHTS

  • who: IRWIN E. SCHOCHETMAN from the (UNIVERSITY) have published the research: A CHARACTERIZATION OF OPEN MAPPING IN TERMS OF CONVERGENT SEQUENCES, in the Journal: (JOURNAL) of 22/01/2006
  • what: In this research/expository note the authors show that a mapping is open if and only if the set-valued inverse mapping preserves convergent sequences in an appropriate set-theoretic sense.

SUMMARY

    By definition, f is open if f (U) is open in Y, whenever U is open in X. Does there exist a characterization of openness for f in terms . . .

     

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