Compact condensations and compactifications

作者：W W Comfort; A W Hager; J van Mill

来源：TOPOLOGY AND ITS APPLICATIONS, 2019, 259: 67-79.

DOI：10.1016/j.topol.2019.02.022

• Compact condensation
• Compactification
• Supremum of topologies
• Locally compact
• Zero dimensional

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.