Glasnik matematički, Vol. 49 No. 1, 2014.
Original scientific paper
https://doi.org/10.3336/gm.49.1.02
Regular open arithmetic progressions in connected topological spaces on the set of positive integers
Paulina Szczuka
; Department of Mathematics, Kazimierz Wielki University, pl. Weyssenhoffa 11, 85-072 Bydgoszcz, Poland
Abstract
In this paper we characterize regular open arithmetic progressions in four connected topological spaces on the set of positive integers with bases consisting of some arithmetic progressions and we examine which of these spaces are semiregular.
Keywords
Furstenberg's topology; Golomb's topology; Kirch's topology; the division topology; arithmetic progressions; regular open set; semiregular space
Hrčak ID:
122516
URI
Publication date:
8.6.2014.
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