Splitting chains, tunnels and twisted sums

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00541722" target="_blank" >RIV/67985840:_____/21:00541722 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11856-021-2121-5" target="_blank" >https://doi.org/10.1007/s11856-021-2121-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11856-021-2121-5" target="_blank" >10.1007/s11856-021-2121-5</a>

Result language
angličtina
Original language name
Splitting chains, tunnels and twisted sums
Original language description
We study splitting chains in P(ω) , that is, families of subsets of ω which are linearly ordered by ⊆* and which are splitting. We prove that their existence is independent of axioms of ZFC. We show that they can be used to construct certain peculiar Banach spaces: twisted sums of C(ω*) = ℓ∞/c0 and c0(c). Also, we consider splitting chains in a topological setting, where they give rise to the so called tunnels.
Czech name
—
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GF17-33849L" target="_blank" >GF17-33849L: Filters, Ultrafilters and Connections with Forcing</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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