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- W3136705618 abstract "We study splitting chains in $$mathcal{P}(omega)$$ , 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." @default.
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- W3136705618 date "2021-03-01" @default.
- W3136705618 modified "2023-10-18" @default.
- W3136705618 title "Splitting chains, tunnels and twisted sums" @default.
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- W3136705618 doi "https://doi.org/10.1007/s11856-021-2121-5" @default.
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