Principle S_1 (P,R): ideals and functions

0503731 - MÚ 2020 RIV NL eng J - Journal Article
Šottová, Viera - Šupina, J.
Principle S_1 (P,R): ideals and functions.
Topology and its Applications. Roč. 258, 15 May (2019), s. 282-304. ISSN 0166-8641. E-ISSN 1879-3207
R&D Projects: GA ČR GF17-33849L
Institutional support: RVO:67985840
Keywords : ideal convergence * quasi-normal convergence * selection principle
OECD category: Pure mathematics
Impact factor: 0.531, year: 2019
Method of publishing: Limited access
http://dx.doi.org/10.1016/j.topol.2019.02.060

We investigate ideal versions of Scheepers' S 1 (...)-space, Arkhangel'skii's α 4 -space and Scheepers' monotonic sequence selection property, i.e., S 1 (...)-space, S 1 (... )-space and S 1 (...)-space, respectively. We show that cardinal invariant ... introduced in [42] is their common critical cardinality and we study this combinatorial characteristic in its own. For instance, we show that ... and consequently if cov ... and J has the Baire property then ... Moreover, we show that control sequence ... in the definition of (I,sJ)wQN-space in [6] is not essential.
Permanent Link: http://hdl.handle.net/11104/0295519