Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659021 | Topology and its Applications | 2013 | 6 Pages |
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 Ï1+1.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Vitalij A. Chatyrko, Alexandre Karassev,