Measures on compact HS spaces
Džamonja, Mirna ; Kunen, Kenneth
Fundamenta Mathematicae, Tome 142 (1993), p. 41-54 / Harvested from The Polish Digital Mathematics Library
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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 2ω1. The first construction uses ♢ to produce an S-space with no convergent sequences in which every perfect set is a Gδ. 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.

Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:211991 
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     title = {Measures on compact HS spaces},
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     volume = {142},
     year = {1993},
     pages = {41-54},
     zbl = {0805.28008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv143i1p41bwm}
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Džamonja, Mirna; Kunen, Kenneth. Measures on compact HS spaces. Fundamenta Mathematicae, Tome 142 (1993) pp. 41-54. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv143i1p41bwm/

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