A minimal Kurepa tree with respect to club embeddings

Abstract

We will show it is consistent with GCH that there is a minimal Kurepa tree with respect to club embeddings. That is, there is a Kurepa tree T which club embedds in all of its Kurepa subtrees in the sense of [1]. Moreover the Kurepa tree we introduce, has no Aronszajn subtree. 2010 Mathematics Subject Classification. 03E05.