Geodesic
Non-separable Banach spaces with non-meager Hamel basis
Taras Banakh1 ; Mirna Džamonja2 ; Lorenz Halbeisen3
1Instytut Matematyki Uniwersytet Humanistyczno-Przyrodniczy im. Jana Kochanowskiego w Kielcach Świ/etokrzyska 15 25-406 Kielce, Poland and Department of Mathematics Ivan Franko National University of Lviv 1 Universytetska St. 79000 Lviv, Ukraine
2Department of Mathematics University of East Anglia Norwich, NR4 7TJ, United Kingdom
3Theoretische Informatik und Logik Universität Bern Neubrückstr. 10 3012 Bern, Switzerland
Studia Mathematica, Tome 189 (2008) no. 1, pp. 27-34
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We show that an infinite-dimensional complete linear space $X$ has:$\bullet$ a dense hereditarily Baire Hamel basis if $|X|\le{\mathfrak c}^+$;$\bullet$ a dense non-meager Hamel basis if $|X|=\kappa^\omega=2^\kappa$ for some cardinal $\kappa$.
DOI : 10.4064/sm189-1-3
Keywords: infinite dimensional complete linear space nbsp has bullet dense hereditarily baire hamel basis mathfrak bullet dense non meager hamel basis kappa omega kappa cardinal nbsp kappa

Taras Banakh  1   ; Mirna Džamonja  2   ; Lorenz Halbeisen  3

1 Instytut Matematyki Uniwersytet Humanistyczno-Przyrodniczy im. Jana Kochanowskiego w Kielcach Świ/etokrzyska 15 25-406 Kielce, Poland and Department of Mathematics Ivan Franko National University of Lviv 1 Universytetska St. 79000 Lviv, Ukraine
2 Department of Mathematics University of East Anglia Norwich, NR4 7TJ, United Kingdom
3 Theoretische Informatik und Logik Universität Bern Neubrückstr. 10 3012 Bern, Switzerland 
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     title = {Non-separable {Banach} spaces with non-meager {Hamel} basis},
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Taras Banakh; Mirna Džamonja; Lorenz Halbeisen. Non-separable Banach spaces with non-meager Hamel basis. Studia Mathematica, Tome 189 (2008) no. 1, pp. 27-34. doi: 10.4064/sm189-1-3

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