
arXiv: 2008.04405
In the paper, we investigate (scattered) compact spaces with a $P$-base for some poset $P$. More specifically, we prove that, under the assumption $��_1
Consistency and independence results in general topology, free sequences, Tukey order, Compactness, Continuum hypothesis and Martin's axiom, scattered spaces, Base properties of topological spaces, General Topology (math.GN), tightness, Cardinal characteristics of the continuum, character, \(\omega^\omega\)-base, Ordered sets and their cofinalities; pcf theory, calibre \(\aleph_1\), FOS: Mathematics, compact spaces, Mathematics - General Topology
Consistency and independence results in general topology, free sequences, Tukey order, Compactness, Continuum hypothesis and Martin's axiom, scattered spaces, Base properties of topological spaces, General Topology (math.GN), tightness, Cardinal characteristics of the continuum, character, \(\omega^\omega\)-base, Ordered sets and their cofinalities; pcf theory, calibre \(\aleph_1\), FOS: Mathematics, compact spaces, Mathematics - General Topology
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