Geodesic
Non-separable Banach spaces with non-meager Hamel basis
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
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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