Topological extension properties
Topological extension properties
It is known that if a topological property <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="script upper P"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi class="MJX-tex-caligraphic" mathvariant="script">P</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">\mathcal {P}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of Tychonoff spaces is closed-hereditary, productive, and possessed by all compact <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="script upper P"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi …