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Proceedings of the American Mathematical Society
Article . 1975 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1975 . Peer-reviewed
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Axiom of Choice and Complementation

Axiom of choice and complementation
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Aug 1975Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 51, page 176 (issn: 0002-9939, Copyright policy )
Authors: Diaconescu, Radu;

doi: 10.2307/2039868 , 10.1090/s0002-9939-1975-0373893-x

Axiom of Choice and Complementation

Abstract

It is shown that an intuitionistic model of set theory with the axiom of choice has to be a classical one.

Keywords

Nonclassical and second-order set theories, Axiom of choice and related propositions, Foundations, relations to logic and deductive systems, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Categories of sets, characterizations

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 86
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
86
Top 10%
Top 1%
Average
bronze
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