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math.LO2010
Continuous Maps on Aronszajn Trees
Kenneth Kunen, Jean A. Larson, Juris Steprāns
Assuming Jenson's principle diamond: Whenever B is a totally imperfect set of real numbers, there is special Aronszajn tree with no continuous order preserving map into B.
math.LO2006
An application of CAT
Mirna Džamonja, Jean Larson
We comment on a question of Justin Moore on colourings of pairs of nodes in an Aronszajn tree and solve an instance of it.