Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 42, 2017, 803-808

MEASURABILITY OF SIMILAR FUNCTIONS

Ivan Kupka

Comenius University, Faculty of Mathematics, Physics and Informatics Department of Mathematical Analysis and Numerical Mathematics
Mlynska Dolina, Bratislava, Slovakia; ivan.kupka 'at' seznam.cz

Abstract. We present new sufficient conditions for functions to be measurable, or Darboux, or to be of the first Baire class. Two main results are obtained in a general topological context.

2010 Mathematics Subject Classification: Primary 26A21 28A20; Secondary 26A15, 54C10, 54D05.

Key words: Continuously similar functions, strongly similar functions, measurable functions, first Baire class, Darboux functions.

Reference to this article: I. Kupka: Measurability of similar functions. Ann. Acad. Sci. Fenn. Math. 42 (2017), 803-808.

Full document as PDF file

https://doi.org/10.5186/aasfm.2017.4246