Canonical Partitions

Hans Jürgen Prömel
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Hans Jürgen Prömel: Technische Universität Darmstadt

Chapter Chapter 6 in Ramsey Theory for Discrete Structures, 2013, pp 61-77 from Springer

Abstract: Abstract In this chapter unrestricted colorings of parameter words are investigated and their canonical patterns are determined. As applications we derive a canonizing version of van der Waerden’s theorem from the corresponding result for zero-parameter words and the finite form of the Erdős-Rado canonization theorem from a canonizing version of the Graham-Rothschild theorem. In fact, throughout this chapter we will consider only parameter words over the trivial group.

Keywords: Equivalence Relation; Arithmetic Progression; Finite Union; Boolean Lattice; Peano Arithmetic (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-01315-2_6

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DOI: 10.1007/978-3-319-01315-2_6

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