Measures on compact HS spaces

• Autorzy: Mirna Džamonja , Kenneth Kunen
• Języki publikacji: EN

Abstrakty

EN

We construct two examples of a compact, 0-dimensional space which supports a Radon probability measure whose measure algebra is isomorphic to the measure algebra of $2^{ω_1}$. The first construction uses ♢ to produce an S-space with no convergent sequences in which every perfect set is a $G_δ$. A space with these properties must be both hereditarily normal and hereditarily countably paracompact. The second space is constructed under CH and is both HS and HL.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1993
• Tom: 143
• Numer: 1
• Strony: 41-54

Daty

wydano

1993

otrzymano

1992-07-29

Twórcy

autor

Mirna Džamonja

• University of Wisconsin, Madison, Wisconsin 53706, U.S.A.

autor

Kenneth Kunen

• University of Wisconsin, Madison, Wisconsin 53706, U.S.A.

Bibliografia

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