Compact spaces homeomorphic to their respective squares

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10492789" target="_blank" >RIV/00216208:11320/24:10492789 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=HH8H.iA1C2" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=HH8H.iA1C2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s40879-024-00749-x" target="_blank" >10.1007/s40879-024-00749-x</a>

Result language
angličtina
Original language name
Compact spaces homeomorphic to their respective squares
Original language description
We deal with topological spaces homeomorphic to their respective squares. Primarily, we investigate the existence of large families of such spaces in some subclasses of compact metrizable spaces. As our main result we show that there is a family of size continuum of pairwise non-homeomorphic compact metrizable zero-dimensional spaces homeomorphic to their respective squares. This answers a question of W & lstrok;odzimierz J. Charatonik. We also discuss the situation in the classes of continua, Peano continua and absolute retracts.
Czech name
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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
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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