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Indicators, Chains, Antichains, Ramsey Property

Sokić, Miodrag (2013) Indicators, Chains, Antichains, Ramsey Property. Canadian Mathematical Bulletin, 57 (3). pp. 631-639. ISSN 0008-4395. doi:10.4153/CMB-2013-028-0.

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We introduce two Ramsey classes of finite relational structures. The first class contains finite structures of the form (A,(I_i)^n_(i=1),≤,(≾_i)^n_(i=1), where ≤ is a total ordering on A and ≾_i is a linear ordering on the set {ɑ, є A : I_i(ɑ)}. The second class contains structures of the form (ɑ,≤,(i_i)^n_i=1,≾), where (A,≤) is a weak ordering and ≤ is a linear ordering on A such that A is partitioned by {ɑ, є A : I_i(ɑ)} into maximal chains in the partial ordering ≤ and each {ɑ, є A : I_i(ɑ)} is an interval with respect to.

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Additional Information:© 2013 Canadian Mathematical Society. Received by the editors April 26, 2013; revised August 2, 2013. Published electronically September 10, 2013. The author is grateful to the referee for valuable comments and suggestions.
Subject Keywords:Ramsey property, linear orderings
Issue or Number:3
Classification Code:AMS subject classification: 05C55, 03C15, 54H20
Record Number:CaltechAUTHORS:20140919-090801623
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:49847
Deposited By: Ruth Sustaita
Deposited On:19 Sep 2014 18:32
Last Modified:10 Nov 2021 18:48

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