Vietoris hyperspaces over scattered Priestley spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00559955" target="_blank" >RIV/67985840:_____/22:00559955 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11856-022-2307-5" target="_blank" >https://doi.org/10.1007/s11856-022-2307-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11856-022-2307-5" target="_blank" >10.1007/s11856-022-2307-5</a>

Result language
angličtina
Original language name
Vietoris hyperspaces over scattered Priestley spaces
Original language description
We study Vietoris hyperspaces of closed and final sets of Priestley spaces. We are particularly interested in Skula topologies. A topological space is Skula if its topology is generated by differences of open sets of another topology. A compact Skula space is scattered and moreover has a natural well-founded ordering compatible with the topology, namely, it is a Priestley space. One of our main objectives is investigating Vietoris hyperspaces of general Priestley spaces, addressing the question when their topologies are Skula and computing the associated ordinal ranks. We apply our results to scattered compact spaces based on certain almost disjoint families, in particular, Lusin families and ladder systems.
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
<a href="/en/project/GF20-22230L" target="_blank" >GF20-22230L: Banach spaces of continuous and Lipschitz functions</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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