Ideals of nowhere dense sets in some topologies on positive integers
Marta Kwela , Andrzej Nowik
AbstractWe investigate the ideals of nowhere dense sets in three topologies on N (namely, the Furstenberg's, Golomb's, and Kirch's topology) related to arithmetic progressions. In particular, we explore relationships between these ideals, and show that each of them has a topological representation and cannot be extended to a summable ideal. Moreover, we study a related notion of Marczewski-Burstin countable representability.
|Journal series||Topology and Its Applications, ISSN 0166-8641, (A 20 pkt)|
|Publication size in sheets||0.7|
|Keywords in English||ideals, Furstenberg’s topology, Golomb’s topology, Kirch’s topology, Marczewski-Burstin representability|
|Score||= 20.0, 24-07-2019, ArticleFromJournal|
|Publication indicators||= 0; : 2017 = 1.051; : 2017 = 0.549 (2) - 2017=0.579 (5)|
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