Rigid Stone spaces within ๐๐น๐ถ
Rigid Stone spaces within ๐๐น๐ถ
We construct within ZFC a family of pairwise nonhomeomorphic dense-in-itself rigid extremally disconnected compact separable spaces. Any such space is determined by a sequence of weak <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper P"> <mml:semantics> <mml:mi>P</mml:mi> <mml:annotation encoding="application/x-tex">P</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-points of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="bold upper N Superscript asterisk"> <mml:semantics> โฆ