Compacta and homogeneity. Some globalization effectsстатья
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Дата последнего поиска статьи во внешних источниках: 26 июня 2019 г.
Аннотация:The general question considered below is: how the properties of a homogeneous compact space X are influenced by the fact that X contains a “nice” closed subspace F which is also “nicely” located in X?. A typical result says that if the tightness of F is countable, and X\F is metalindelöf, then the tightness of X is also countable. A question posed by Oleg Pavlov is answered. Some applications of the results obtained to perfect maps are given. The concept of G_δ-homogeneous space is introduced, and it is shown, in particular, that if X is a G_δ-homogeneous compact space with countable tightness, then the weight of X does not exceed 2^ω.