Geodesic
On the Compactness and Countable Compactness of 2R in ZF
Kyriakos Keremedis1 ; Evangelos Felouzis1 ; Eleftherios Tachtsis2
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.

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

In the framework of ZF (Zermelo–Fraenkel set theory without the Axiom of Choice) we provide topological and Boolean-algebraic characterizations of the statements “2R is countably compact” and “2R is compact”
DOI : 10.4064/ba55-4-1
Mots-clés : 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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     title = {On the {Compactness} and {Countable}  {Compactness} of
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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. https://geodesic-test.mathdoc.fr/articles/10.4064/ba55-4-1/

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