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- W4290987493 abstract "We develop local forms of Ramsey-theoretic dichotomies for block sequences in infinite-dimensional vector spaces, analogous to Mathias' selective coideal form of Silver's theorem for analytic partitions of $[mathbb{N}]^infty$. Under large cardinals, these results are extended to partitions in $mathbf{L}(mathbb{R})$ and $mathbf{L}(mathbb{R})$-generic filters of block sequences are characterized. Variants of these results are also established for block sequences in Banach spaces and for projections in the Calkin algebra." @default.
- W4290987493 created "2022-08-13" @default.
- W4290987493 creator A5072431250 @default.
- W4290987493 date "2016-09-28" @default.
- W4290987493 modified "2023-10-16" @default.
- W4290987493 title "A local Ramsey theory for block sequences" @default.
- W4290987493 doi "https://doi.org/10.48550/arxiv.1609.09016" @default.
- W4290987493 hasPublicationYear "2016" @default.
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