The intersection property of amalgamations
نویسندگان
چکیده
منابع مشابه
Modules with copure intersection property
In this paper, we investigate the modules with the copure intersection property and obtained obtain some related results.
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K. S. Lau had shown that a reflexive Banach space has the Mazur Intersection Property (MIP) if and only if every closed bounded convex set is the closed convex hull of its farthest points. In this work, we show that in general this latter property is equivalent to a property stronger than the MIP. As corollaries, we recapture the result of Lau and characterize the w*-MIP in dual of RNP spaces.
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We show that the relational theory of intersection types known as BCD has the finite model property; that is, BCD is complete for its finite models. Our proof uses rewriting techniques which have as an immediate by-product the polynomial time decidability of the preorder ⊆ (although this also follows from the so called beta soundness of BCD). BCD is the relational theory of intersection types p...
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The main result of the present note states that it is consistent with the ZFC axioms of set theory (relying on Martin’s Maximum MM axiom), that every Asplund space of density character ω1 has a renorming with the Mazur intersection property. Combined with the previous result of Jiménez and Moreno (based upon the work of Kunen under the continuum hypothesis) we obtain that the MIP renormability ...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1972
ISSN: 0022-4049
DOI: 10.1016/0022-4049(72)90010-2