Erratum and addendum to 'Recovering a compact Hausdorff space X from the compatibility ordering on C(X)' (Fund. Math. 242 (2018), 187-205)
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10457057" target="_blank" >RIV/00216208:11320/22:10457057 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=RkwdQ.RRrm" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=RkwdQ.RRrm</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4064/fm170-2-2022" target="_blank" >10.4064/fm170-2-2022</a>
Alternative languages
Result language
angličtina
Original language name
Erratum and addendum to 'Recovering a compact Hausdorff space X from the compatibility ordering on C(X)' (Fund. Math. 242 (2018), 187-205)
Original language description
It was kindly pointed out by L. G. Cordeiro as well as independently byT. Bice and W. Kubis that the proof of Theorem 1.1 from the paper 'Recovering a compactHausdorff space X from the compatibility ordering on CpXq', Fund. Math. 242 (2018),187-205 is flawed. We demonstrate that not only is the proof of the said statement erroneousbut that there is indeed a counterexample to it; Theorems 1.2-1.3 remain unaffectedthough. We salvage the result in the class of totally disconnected compact spaces and wepropose an amendment by a suitable modification of the compatibility ordering that yieldsthe conclusion of Theorem 1.1 for arbitrary compact spaces.
Czech name
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Czech description
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Classification
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
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fundamenta Mathematicae
ISSN
0016-2736
e-ISSN
1730-6329
Volume of the periodical
2022
Issue of the periodical within the volume
257
Country of publishing house
PL - POLAND
Number of pages
12
Pages from-to
217-228
UT code for WoS article
000761922100001
EID of the result in the Scopus database
2-s2.0-85144332936