Geodesic
Measures on compact HS spaces
Mirna Džamonja1 ; Kenneth Kunen1
1 University of Wisconsin Madison, Wisconsin 53706 U.S.A.
Fundamenta Mathematicae, Tome 143 (1993) no. 1, pp. 41-54.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm-143-1-41-54

Mirna Džamonja 1 ; Kenneth Kunen 1

1 University of Wisconsin Madison, Wisconsin 53706 U.S.A. 
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Mirna Džamonja; Kenneth  Kunen. Measures on compact HS spaces. Fundamenta Mathematicae, Tome 143 (1993) no. 1, pp. 41-54. doi : 10.4064/fm-143-1-41-54. http://geodesic.mathdoc.fr/articles/10.4064/fm-143-1-41-54/

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