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Splitting chains, tunnels and twisted sums
- 1.0541722 - MÚ 2022 RIV IL eng J - Journal Article
Cabello-Sánchez, F. - Avilés, A. - Borodulin-Nadzieja, P. - Chodounský, David - Guzmán, O.
Splitting chains, tunnels and twisted sums.
Israel Journal of Mathematics. Roč. 241, č. 2 (2021), s. 955-989. ISSN 0021-2172. E-ISSN 1565-8511
R&D Projects: GA ČR GF17-33849L
Institutional support: RVO:67985840
Keywords : splitting chains * Banach spaces
OECD category: Pure mathematics
Impact factor: 1.089, year: 2021
Method of publishing: Limited access
https://doi.org/10.1007/s11856-021-2121-5
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.
Permanent Link: http://hdl.handle.net/11104/0319250
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