abstract
Non-separable Banach spaces with non-meager Hamel basis
Taras Banakh, Mirna Dzamonja, Lorenz Halbeisen
We show that an infinite-dimensional complete linear space X has:
a dense hereditarily Baire Hamel basis if |X| is less than
or equal to c+;
a dense non-meager Hamel basis if |X|=komega=2k
for some cardinal k.