Article ID Journal Published Year Pages File Type
4659021 Topology and its Applications 2013 6 Pages PDF
Abstract
Let Rcon be the set of classes R(X) of remainders of metrizable compactifications of all locally compact noncompact connected separable metrizable spaces X. Results of Chatyrko and Karassev (2013) [4] imply that Rcon is ordered by inclusion. For a given locally compact noncompact connected metrizable space X we construct a zero-dimensional metrizable remainder of X which contains any other zero-dimensional element of R(X). As application of this we show that Rcon, ordered by inclusion, is isomorphic to ω1+1.
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
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