More on Compactness of Chromatic Numbers

Abstract

We prove that for any regular kappa and mu > kappa below the first fix point (lambda = aleph_lambda) above kappa, there is a graph with chromatic number > kappa, and mu^kappa nodes but every subgraph of cardinality < mu has chromatic number less than or equal to kappa.

8 pages

References in corpus (1)

• aleph_n-Free abelain group with no non-zero homomorphism Z