On generic topological embeddings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00605643" target="_blank" >RIV/67985840:_____/25:00605643 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00025-024-02351-9" target="_blank" >https://doi.org/10.1007/s00025-024-02351-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00025-024-02351-9" target="_blank" >10.1007/s00025-024-02351-9</a>

Result language
angličtina
Original language name
On generic topological embeddings
Original language description
We show that an embedding of a fixed 0-dimensional compact space K into the Čech-Stone remainder ω∗ as a nowhere dense P-set is the unique generic limit, a special object in the category consisting of all continuous maps from K to compact metric spaces. Using categorical Fraïssé theory, we obtain some well-known theorems about Čech-Stone remainders of infinite discrete spaces. Furthermore, we prove several results concerning universality and homogeneity of the space κκ, with κ a regular uncountable cardinal, using generalized ultrametrics.
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/GX20-31529X" target="_blank" >GX20-31529X: Abstract convergence schemes and their complexities</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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