Abstract
We survey the interplay between topology and Ramsey Theory which began with Ellentuck’s Theorem (Ellentuck 1974) (and was anticipated by work of Nash-Williams (1965), Galvin and Prikry (1973) and Silver (1970) by giving a fairly abstract treatment of what have become known as Ellentuck type theorems.
partially supported by NSF grant MCS 19-07774.
partially supported by NSF grant MCS 8107867.
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Carlson, T.J., Simpson, S.G. (1990). Topological Ramsey Theory. In: Nešetřil, J., Rödl, V. (eds) Mathematics of Ramsey Theory. Algorithms and Combinatorics, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72905-8_12
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DOI: https://doi.org/10.1007/978-3-642-72905-8_12
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