# Mazur intersection property for Asplund spaces - Mathematics > Functional Analysis

Abstract: The main result of the present note states that it is consistent with the ZFCaxioms of set theory relying on Martin-s Maximum MM axiom, that every Asplundspace of density character $\omega 1$ has a renorming with the Mazurintersection property. Combined with the previous result of Jim\- enez andMoreno based upon the work of Kunen under the continuum hypothesis we obtainthat the MIP normability of Asplund spaces of density $\omega 1$ is undecidablein ZFC.

Author: Miroslav Bacak, Petr Hajek

Source: https://arxiv.org/