An Asplund space with norming Markuševič basis that is not weakly compactly generated

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00546788" target="_blank" >RIV/67985840:_____/21:00546788 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21230/21:00354984
Result on the web
<a href="https://doi.org/10.1016/j.aim.2021.108041" target="_blank" >https://doi.org/10.1016/j.aim.2021.108041</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aim.2021.108041" target="_blank" >10.1016/j.aim.2021.108041</a>

Result language
angličtina
Original language name
An Asplund space with norming Markuševič basis that is not weakly compactly generated
Original language description
We construct an Asplund Banach space X with a norming Markuševič basis such that X is not weakly compactly generated. This solves a long-standing open problem from the early nineties, originally due to Gilles Godefroy. En route to the proof, we construct a peculiar example of scattered compact space, that also solves a question due to Wiesław Kubiś and Arkady Leiderman.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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