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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/803645

Title: Mazur intersection property for Asplund spaces
Author/Creator: Bačák, Miroslav; Hájek, Petr
Description: 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 of Asplund spaces of density ω1 is undecidable in ZFC.
Relation: Journal of Functional Analysis Vol. 255, Issue 8, p. 2090-2094
Publisher Link: http://dx.doi.org/10.1016/j.jfa.2008.05.016
Date: 2008
Publisher: Academic Press
Keyword(s): Mazur intersection property; Asplund space; Martin’s Maximum axiom; fundamental biorthogonal system
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/803645
Identifier: ISSN:0022-1236

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