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Continuous transformations preserving tails of an $A$-continued fraction representation of numbers

Building: Mykhailo Drahomanov National Pedagogical University

Room: Room C

Date: 2018-09-28 04:45 PM – 17:00

Last modified: 2018-09-24

#### Abstract

We study continuous strictly monotonic functions preserving tails of $A$-continued fraction representation of real numbers and construct continuous transformations of [0,5; 1]. It is proved that the set of all transformations is infnite and forms a non-commutative group with respect to operation of a superposition.