On the Compactness and Countable Compactness of $2^{ℝ}$ in ZF

• Autorzy: Kyriakos Keremedis , Evangelos Felouzis , Eleftherios Tachtsis
• Języki publikacji: EN

Abstrakty

EN

In the framework of ZF (Zermelo-Fraenkel set theory without the Axiom of Choice) we provide topological and Boolean-algebraic characterizations of the statements "$2^{ℝ}$ is countably compact" and "$2^{ℝ}$ is compact"

Kategorie tematyczne

• 03E25: Axiom of choice and related propositions
• 54D30: Compactness
• 54B10: Product spaces
• 54D20: Noncompact covering properties (paracompact, Lindel\"of, etc.)
• 54A35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: 55
• Numer: 4
• Strony: 293-302

Daty

wydano

2007

Twórcy

autor

Kyriakos Keremedis

• Department of Mathematics, University of the Aegean, Karlovassi, 83200, Samos, Greece

autor

Evangelos Felouzis

• Department of Mathematics, University of the Aegean, Karlovassi, 83200, Samos, Greece

autor

Eleftherios Tachtsis

• Department of Statistics, and Actuarial-Financial Mathematics, University of the Aegean, Karlovassi, 83200, Samos, Greece

Identyfikatory

DOI

10.4064/ba55-4-1