Geodesic
On the Compactness and Countable Compactness of $2^{\mathbb{R}}$ in ZF
Kyriakos Keremedis 1   ; Evangelos Felouzis 1   ; Eleftherios Tachtsis 2
1 Department of Mathematics University of the Aegean Karlovassi, 83200, Samos, Greece
2 Department of Statistics and Actuarial-Financial Mathematics University of the Aegean Karlovassi, 83200, Samos, Greece
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 4, pp. 293-302 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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In the framework of ZF (Zermelo–Fraenkel set theory without the Axiom of Choice) we provide topological and Boolean-algebraic characterizations of the statements “$2^{\mathbb{R}}$ is countably compact” and “$2^{\mathbb{R}}$ is compact”
DOI : 10.4064/ba55-4-1
Keywords: framework zermelo fraenkel set theory without axiom choice provide topological boolean algebraic characterizations statements mathbb countably compact mathbb compact

Kyriakos Keremedis  1   ; Evangelos Felouzis  1   ; Eleftherios Tachtsis  2

1 Department of Mathematics University of the Aegean Karlovassi, 83200, Samos, Greece
2 Department of Statistics and Actuarial-Financial Mathematics University of the Aegean Karlovassi, 83200, Samos, Greece 
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     author = {Kyriakos Keremedis and Evangelos Felouzis and Eleftherios Tachtsis},
     title = {On the {Compactness} and {Countable}  {Compactness} of
$2^{\mathbb{R}}$ 
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     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
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     year = {2007},
     volume = {55},
     number = {4},
     doi = {10.4064/ba55-4-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba55-4-1/}
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in ZF
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Kyriakos Keremedis; Evangelos Felouzis; Eleftherios Tachtsis. On the Compactness and Countable  Compactness of
$2^{\mathbb{R}}$ 
in ZF. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 4, pp. 293-302. doi: 10.4064/ba55-4-1

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