The Tychonoff product theorem implies the axiom of choice
J. Kelley (1950)
Fundamenta Mathematicae
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Displaying similar documents to “Choice principles in elementary topology and analysis”
The Tychonoff product theorem implies the axiom of choice
A theorem of Stone-Čech type, and a theorem of Tychonoff type, without the axiom of choice; and their realcompact analogues
W. W. Comfort (1968)
Fundamenta Mathematicae
Similarity:
Between Martin's Axiom and Souslin's Hypothesis
Kenneth Kunen, Franklin Tall (1979)
Fundamenta Mathematicae
Similarity:
[unknown]
M. Jelić (1990)
Matematički Vesnik
Similarity:
The interdependence of certain consequences of the axiom of choice
A. Lévy (1964)
Fundamenta Mathematicae
Similarity:
Countable Compact Scattered T₂ Spaces and Weak Forms of AC
Kyriakos Keremedis, Evangelos Felouzis, Eleftherios Tachtsis (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
We show that: (1) It is provable in ZF (i.e., Zermelo-Fraenkel set theory minus the Axiom of Choice AC) that every compact scattered T₂ topological space is zero-dimensional. (2) If every countable union of countable sets of reals is countable, then a countable compact T₂ space is scattered iff it is metrizable. (3) If the real line ℝ can be expressed as a well-ordered union of well-orderable sets, then every countable compact zero-dimensional...
The axiom of choice and two particular forms of Tychonoff theorem
Alas, Ofelia T. (1969)
Portugaliae mathematica
Similarity:
On the axiom of choice for families of finite sets
K. Wiśniewski (1972)
Fundamenta Mathematicae
Similarity:
A reduction of the axioms for the theory of prepositional types
P. Andrews (1963)
Fundamenta Mathematicae
Similarity:
Some theorems on vector spaces and the axiom of choice
M. Bleicher (1964)
Fundamenta Mathematicae
Similarity: