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The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory/
Publicado em 1940Assuntos: “...Axiom of choice...”
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Operational axioms for diagonalizing states
Publicado em 2015“...A natural question then arises: can we reconstruct these notions from purely operational axioms? We address this question in the framework of general probabilistic theories, presenting a set of axioms that guarantee that every state can be diagonalized. ...”
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SEPARATION AXIOMS ON MULTISET TOPOLOGICAL SPACE
Publicado em 2015-08-01“...− The aim of this paper is to introduce separation axioms on multiset topological spacesand study some of their properties. ...”
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A multiverse perspective on the axiom of constructibility
Publicado em 2014“...I shall argue that the commonly held V ≠= L via maximize position, which rejects the axiom of constructibility V = L on the basis that it is restrictive, implicitly takes a stand in the pluralist debate in the philosophy of set theory by presuming an absolute background concept of ordinal. ...”
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Λr -sets and separation axioms
Publicado em 2011“...Separation axioms are among the most common and important and interesting concepts in topology as well as in bitopologies. ...”
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Artigo