Splitting chains, tunnels and twisted sums
نویسندگان
چکیده
We study splitting chains in $$\mathcal{P}(\omega)$$ , that is, families of subsets ω which are linearly ordered by ⊆* and splitting. prove their existence is independent axioms ZFC. show they can be used to construct certain peculiar Banach spaces: twisted sums C(ω*) = l∞/c0 c0(c). Also, we consider a topological setting, where give rise the so called tunnels.
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2021
ISSN: ['1565-8511', '0021-2172']
DOI: https://doi.org/10.1007/s11856-021-2121-5