Compactifiable classes of compacta

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00507958" target="_blank" >RIV/67985840:_____/19:00507958 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/19:10408106 RIV/68407700:21110/19:00336942
Result on the web
<a href="http://dx.doi.org/10.1016/j.topol.2019.106836" target="_blank" >http://dx.doi.org/10.1016/j.topol.2019.106836</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.topol.2019.106836" target="_blank" >10.1016/j.topol.2019.106836</a>

Result language
angličtina
Original language name
Compactifiable classes of compacta
Original language description
We introduce the notion of compactifiable classes – these are classes of metrizable compact spaces that can be up to homeomorphic copies “disjointly combined” into one metrizable compact space. This is witnessed by so-called compact composition of the class. Analogously, we consider Polishable classes and Polish compositions. The question of compactifiability or Polishability of a class is related to hyperspaces. Strongly compactifiable and strongly Polishable classes may be characterized by the existence of a corresponding family in the hyperspace of all metrizable compacta. We systematically study the introduced notions – we give several characterizations, consider preservation under various constructions, and raise several questions.
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
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
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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