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A UNIFIED APPROACH TO CONTINUOUS, MEASURABLE SELECTIONS, AND SELECTIONS FOR HYPERSPACES

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In this paper we provide a unified approach, based on methods of descriptive set theory, for proving some classical selection theorems. Among them is the zero-dimensional Michael selection theorem, the… Click to show full abstract

In this paper we provide a unified approach, based on methods of descriptive set theory, for proving some classical selection theorems. Among them is the zero-dimensional Michael selection theorem, the Kuratowski–Ryll-Nardzewski selection theorem, as well as a known selection theorem for hyperspaces.

Keywords: selection theorem; approach continuous; approach; continuous measurable; unified approach

Journal Title: Mathematika
Year Published: 2018

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