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Abstract We prove that if X is a paracompact space, Y is a metric space and f : X → Y is a functionally fragmented map, then (i) f is… Click to show full abstract
Abstract We prove that if X is a paracompact space, Y is a metric space and f : X → Y is a functionally fragmented map, then (i) f is σ-discrete and functionally F σ -measurable; (ii) f is a Baire-one function, if Y is weak adhesive and weak locally adhesive for X; (iii) f is countably functionally fragmented, if X is Lindeloff. This result generalizes one theorem of Rene Baire on classification of barely continuous functions.
Keywords:
continuous functions;
baire;
baire theorem;
barely continuous;
generalization baire
Journal Title: Topology and its Applications
Year Published: 2019
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Journal Title: Topology and its Applications
Year Published: 2019
Link to full text (if available)
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recommendations!