Erratum and addendum to `Recovering a compact Hausdorff space X from the compatibility ordering on C(X)'

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00558125" target="_blank" >RIV/67985840:_____/22:00558125 - isvavai.cz</a>
Výsledek na webu
<a href="https://dx.doi.org/10.4064/fm170-2-2022" target="_blank" >https://dx.doi.org/10.4064/fm170-2-2022</a>
DOI - Digital Object Identifier
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Jazyk výsledku
angličtina
Název v původním jazyce
Erratum and addendum to `Recovering a compact Hausdorff space X from the compatibility ordering on C(X)'
Popis výsledku v původním jazyce
It was kindly pointed out by L. G. Cordeiro as well as independently by T. Bice and W. Kubiś that the proof of Theorem 1.1 from the paper in the title is flawed. We salvage the result in the class of totally disconnected compact spaces and we propose an amendment by a suitable modification of the compatibility ordering that yields the conclusion of Theorem 1.1 for arbitrary compact spaces. Moreover, we demonstrate that there is a compatibility isomorphism between the spaces of continuous functions on the unit disc and a closed annulus.
Název v anglickém jazyce
Erratum and addendum to `Recovering a compact Hausdorff space X from the compatibility ordering on C(X)'
Popis výsledku anglicky
It was kindly pointed out by L. G. Cordeiro as well as independently by T. Bice and W. Kubiś that the proof of Theorem 1.1 from the paper in the title is flawed. We salvage the result in the class of totally disconnected compact spaces and we propose an amendment by a suitable modification of the compatibility ordering that yields the conclusion of Theorem 1.1 for arbitrary compact spaces. Moreover, we demonstrate that there is a compatibility isomorphism between the spaces of continuous functions on the unit disc and a closed annulus.

Projekt
<a href="/cs/project/GJ19-07129Y" target="_blank" >GJ19-07129Y: Metody lineární analýzy v operátorových algebrách a naopak</a><br>
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2022
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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