Compact condensations and compactifications

摘要

<br/>A Tychonoff space X will be called strongly bicompactly condensable (SBC) if there is a set S of compact Hausdorff topologies on the set X whose supremum in the lattice of topologies is the original topology. Such an S determines a compactification K(S) of X. We examine which compactifications of an SBC X arise in this way: For some X, all do, and for others, some and not all; For some X, βX does, and for others, does not.

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