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- W2991155034 abstract "We show that if <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=lamda Superscript greater-than kappa Baseline equals lamda> <mml:semantics> <mml:mrow> <mml:msup> <mml:mi>λ<!-- λ --></mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo>></mml:mo> <mml:mi>κ<!-- κ --></mml:mi> </mml:mrow> </mml:msup> <mml:mo>=</mml:mo> <mml:mi>λ<!-- λ --></mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>lambda ^{>kappa } = lambda</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and every normal filter on <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper P Subscript kappa Baseline lamda> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi>P</mml:mi> <mml:mi>κ<!-- κ --></mml:mi> </mml:msub> <mml:mi>λ<!-- λ --></mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>P_kappa lambda</mml:annotation> </mml:semantics> </mml:math> </inline-formula> can be extended to a <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=kappa> <mml:semantics> <mml:mi>κ<!-- κ --></mml:mi> <mml:annotation encoding=application/x-tex>kappa</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-complete ultrafilter, then so does every <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=kappa> <mml:semantics> <mml:mi>κ<!-- κ --></mml:mi> <mml:annotation encoding=application/x-tex>kappa</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-complete filter on <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=lamda> <mml:semantics> <mml:mi>λ<!-- λ --></mml:mi> <mml:annotation encoding=application/x-tex>lambda</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. This answers a question of Gitik." @default.
- W2991155034 created "2019-12-05" @default.
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- W2991155034 date "2020-03-18" @default.
- W2991155034 modified "2023-09-24" @default.
- W2991155034 title "A note on the normal filters extension property" @default.
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- W2991155034 doi "https://doi.org/10.1090/proc/14939" @default.
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