Values of limit periodic sequences and functions

Year, pages: 2016, 43 - 62

We consider limit periodic sequences and functions with values in pseudometric spaces. We construct limit periodic sequences and functions with given values. For any totally bounded countable set, we find a limit periodic sequence which attains each value from this set periodically. A corresponding result concerning such a construction of limit periodic functions is proved as well. For any totally bounded countable set which is dense in itself, we construct a limit periodic bijective map from the integers into this set. As corollaries, we obtain new results about non-almost periodic solutions of almost periodic transformable difference systems.

Veselý, M., Hasil, P. 2016. Values of limit periodic sequences and functions. In Mathematica Slovaca, vol. 66, no.1, pp. 43-62. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0114

Veselý, M., Hasil, P. (2016). Values of limit periodic sequences and functions. Mathematica Slovaca, 66(1), 43-62. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0114