MATHEMATICA BOHEMICA, Vol. 132, No. 2, pp. 177-183 (2007)

A comparison of three recent selection theorems

Caterina Maniscalco

Caterina Maniscalco, Dipartimento di Matematica e Applicazioni, Universita' di Palermo, Via Archirafi, 34, 90123 Palermo, Italy, e-mail: maniscal@math.unipa.it

Abstract: We compare a recent selection theorem given by Chistyakov using the notion of modulus of variation, with a selection theorem of Schrader based on bounded oscillation and with a selection theorem of Di Piazza-Maniscalco based on bounded ${\cal A},\Lambda $-oscillation.

Keywords: variation, oscillation, modulus of variation, selection theorem

Classification (MSC2000): 26A45

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