Ordering property for unary functions

摘要

Let kappa(n) be the class of finite structures of the form (A, f(1)(A), ..., f(n)(A)) where each f(i)(A) is a unary function on A. Let C kappa(n) be a class of finite structures of the form (A, f(1)(A), ..., f(n)(A), = (A)) with the property that (A, f(1)(A), ..., f(n)(A)) is an element of kappa(n) and =( A) is a linear ordering on A. We give an example of the Ramsey class CK, which satisfies the ordering property with respect to kappa(n). (C) 2018 Elsevier Inc. All rights reserved.