Weakly Corson compact trees
نویسندگان
چکیده
We introduce and study a new topology on trees, that we call the countably coarse wedge topology. Such is strictly finer than it turns every chain complete, rooted tree into Fréchet–Urysohn, compact topological space. show rôle of such in theory weakly Corson Valdivia compacta. In particular, give first example space T whose closed subspace Valdivia, yet not Corson. This answers question due to Ondřej Kalenda.
منابع مشابه
On function spaces of Corson-compact spaces
We apply elementary substructures to characterize the space Cp(X) for Corsoncompact spaces. As a result, we prove that a compact space X is Corson-compact, if Cp(X) can be represented as a continuous image of a closed subspace of (Lτ ) × Z, where Z is compact and Lτ denotes the canonical Lindelöf space of cardinality τ with one non-isolated point. This answers a question of Archangelskij [2].
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ژورنال
عنوان ژورنال: Positivity
سال: 2022
ISSN: ['1572-9281', '1385-1292']
DOI: https://doi.org/10.1007/s11117-022-00874-5