Geodesic
Measures on compact HS spaces
Mirna Džamonja1 ; Kenneth Kunen1
1University of Wisconsin Madison, Wisconsin 53706 U.S.A.
Fundamenta Mathematicae, Tome 143 (1993) no. 1, pp. 41-54
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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. 
@article{10_4064_fm_143_1_41_54,
     author = {Mirna D\v{z}amonja and Kenneth  Kunen},
     title = {Measures on compact {HS} spaces},
     journal = {Fundamenta Mathematicae},
     pages = {41--54},
     year = {1993},
     volume = {143},
     number = {1},
     doi = {10.4064/fm-143-1-41-54},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-143-1-41-54/}
}
TY  - JOUR
AU  - Mirna Džamonja
AU  - Kenneth  Kunen
TI  - Measures on compact HS spaces
JO  - Fundamenta Mathematicae
PY  - 1993
SP  - 41
EP  - 54
VL  - 143
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm-143-1-41-54/
DO  - 10.4064/fm-143-1-41-54
LA  - en
ID  - 10_4064_fm_143_1_41_54
ER  - 
%0 Journal Article
%A Mirna Džamonja
%A Kenneth  Kunen
%T Measures on compact HS spaces
%J Fundamenta Mathematicae
%D 1993
%P 41-54
%V 143
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/fm-143-1-41-54/
%R 10.4064/fm-143-1-41-54
%G en
%F 10_4064_fm_143_1_41_54
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

Cité par Sources :