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Showing 1 to 3 of 3 for “"Ramsey space"”.
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Banach Spaces on Topological Ramsey Structures
<p>A Banach space <em>T<sub>1</sub>(d, θ)</em> with a Tsirelson-type norm is constructed on the top of the topological Ramsey space <em>T<sub>1</sub></em> defined by Dobrinen and Todorcevic [6]. Finite approximations of the isomorphic subtrees are utilised in constructing the norm. The subspace on …
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Better-Quasi-Orders: Extensions and Abstractions
… of better-quasi-order to use an alternative Ramsey space rather than exclusively the Ellentuck space as is usual. We classify the possible notions of well-quasi-order that can arise by generalising in this way, before proving that the corresponding notion of better-quasi-order is closed under …
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Ramsey Algebras and Ramsey Spaces
… theorem using idempotent ultrafilters. We study Ramsey algebras, which are structures that satisfy an analogue of Hindman's theorem. We show the existence of idempotent ultrafilters for Ramsey algebras under Martin's axiom, and the existence of idempotent ultrafilters for Ramsey algebras on a …