Weakly Corson compact trees

0556313 - MÚ 2023 RIV NL eng J - Článek v odborném periodiku
Russo, Tommaso - Somaglia, J.
Weakly Corson compact trees.
Positivity. Roč. 26, č. 2 (2022), č. článku 33. ISSN 1385-1292. E-ISSN 1572-9281
Grant CEP: GA ČR(CZ) GF20-22230L
Institucionální podpora: RVO:67985840
Klíčová slova: coarse wedge topology * countably coarse wedge topology * tree * Valdivia compacta
Obor OECD: Pure mathematics
Impakt faktor: 1, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1007/s11117-022-00874-5

We introduce and study a new topology on trees, that we call the countably coarse wedge topology. Such a topology is strictly finer than the coarse wedge topology and it turns every chain complete, rooted tree into a Fréchet–Urysohn, countably compact topological space. We show the rôle of such topology in the theory of weakly Corson and weakly Valdivia compacta. In particular, we give the first example of a compact space T whose every closed subspace is weakly Valdivia, yet T is not weakly Corson. This answers a question due to Ondřej Kalenda.
Trvalý link: http://hdl.handle.net/11104/0330596