A Negative Partition Relation

  1. A. Hajnal
  1. Mathematics Department, University of Calgary, Calgary, Alberta, Canada

Abstract

If the continuum hypothesis is assumed, there is a graph G whose vertices form an ordered set of type ω1 2; G does not contain triangles or complete even graphs of form [[unk]0,[unk]0], and there is no independent subset of vertices of type ω1 2.

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