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

Result code in 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>
Result on the web
<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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Result language
angličtina
Original language name
Erratum and addendum to `Recovering a compact Hausdorff space X from the compatibility ordering on C(X)'
Original language description
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.
Czech name
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Czech description
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Project
<a href="/en/project/GJ19-07129Y" target="_blank" >GJ19-07129Y: Linear-analysis techniques in operator algebras and vice versa</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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