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Displaying similar documents to “A general approach to the theory of set-valued mappings”

Functionally Countable Spaces and Baire Functions

Choban, M. (1997)

Serdica Mathematical Journal

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The concept of the distinguished sets is applied to the investigation of the functionally countable spaces. It is proved that every Baire function on a functionally countable space has a countable image. This is a positive answer to a question of R. Levy and W. D. Rice.

Consonance and Cantor set-selectors

Valentin Gutev (2013)

Open Mathematics

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It is shown that every metrizable consonant space is a Cantor set-selector. Some applications are derived from this fact, also the relationship is discussed in the framework of hyperspaces and Prohorov spaces.