- Title
- Mazur intersection property for Asplund spaces
- Creator
- Bačák, Miroslav; Hájek, Petr
- 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
- Publisher
- Academic Press
- Resource Type
- journal article
- Date
- 2008
- 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.
- Subject
- Mazur intersection property; Asplund space; Martin’s Maximum axiom; fundamental biorthogonal system
- Identifier
- uon:6463
- Identifier
- http://hdl.handle.net/1959.13/803645
- Identifier
- ISSN:0022-1236
- Reviewed
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