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Article Dans Une Revue Fundamenta Mathematicae Année : 1993

Measures on Compact HS Spaces

Résumé

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 $2^{\omega_1}$ . The first construction uses $\diamondsuit$ to produce an S-space with no convergent sequences in which every perfect set is a $G_\delta$. 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.
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Dates et versions

hal-03913649 , version 1 (19-01-2023)

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Mirna Džamonja, Kenneth Kunen. Measures on Compact HS Spaces. Fundamenta Mathematicae, 1993, 143 (1), pp.41-54. ⟨10.4064/fm-143-1-41-54⟩. ⟨hal-03913649⟩
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