Generic large cardinals: New axioms for mathematics?
Foreman, Matthew (1998)
Documenta Mathematica
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Foreman, Matthew (1998)
Documenta Mathematica
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Paweł Szeptycki (1975)
Studia Mathematica
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A. Błaszczyk, U. Lorek (1978)
Colloquium Mathematicae
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T. K. Pal, M. Maiti, J. Achari (1976)
Matematički Vesnik
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D. W. Hajek (1986)
Matematički Vesnik
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H. A. Antosiewicz, A. Cellina (1977)
Annales Polonici Mathematici
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Joel David Hamkins (2003)
Fundamenta Mathematicae
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If an extension V ⊆ V̅ satisfies the δ approximation and cover properties for classes and V is a class in V̅, then every suitably closed embedding j: V̅ → N̅ in V̅ with critical point above δ restricts to an embedding j ↾ V amenable to the ground model V. In such extensions, therefore, there are no new large cardinals above δ. This result extends work in [Ham01].
Aarts J. M. (1971)
Colloquium Mathematicum
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M. R. Koushesh
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Let X be a space. A space Y is called an extension of X if Y contains X as a dense subspace. For an extension Y of X the subspace Y∖X of Y is called the remainder of Y. Two extensions of X are said to be equivalent if there is a homeomorphism between them which fixes X pointwise. For two (equivalence classes of) extensions Y and Y' of X let Y ≤ Y' if there is a continuous mapping of Y' into Y which fixes X pointwise. Let 𝓟 be a topological property. An extension Y of X is called a 𝓟-extension...
Moti Gitik, Mohammad Golshani (2015)
Fundamenta Mathematicae
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We study pairs (V, V₁), V ⊆ V₁, of models of ZFC such that adding κ-many Cohen reals over V₁ adds λ-many Cohen reals over V for some λ > κ.
L. Rudolf (1972)
Fundamenta Mathematicae
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Wojciech Guzicki
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CONTENTS0. Introduction and terminology..............................................................51. Quantifiers and elementary extensions..............................................82. Elementary extensions of countable models of set theory................153. Interpretations of set theory in extensions of A₂...............................214. Definable quantifiers in models of A₂...............................................325. Elementary generic extensions........................................................40References..........................................................................................50 ...
Eggert Briem (1981)
Mathematische Zeitschrift
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Paul Monsky (1987)
Mathematische Zeitschrift
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