Local properties of topological spaces and remainders in compactificationsстатья
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Дата последнего поиска статьи во внешних источниках: 18 сентября 2019 г.
Аннотация:What can we say about the properties of remainders of spaces which have a certain property P locally? Below, a rather general approach to this question is developed. In particular, we consider remainders of locally metrizable spaces and show that they are rarely homogeneous: if X is a locally metrizable space with a homogeneous remainder Y, then Y is a charming space. We also show that if X is a locally separable locally metrizable space with a homogeneous remainder Y in a compactification bX, then Y is a Lindelöf p-space. If in addition X is nowhere locally compact, then X is also a Lindelöf p-space.