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S. Geschke (Bonn): Structural results about continuous n-colorings

Donnerstag, 01.12.2011 14:15 im Raum N 2
Mathematik und Informatik

We consider continuous colorings of the n-element subsets of a Polish space, which we call n-colorings for short, and their so-called homogeneity numbers. It turns out that there is a finite list of n-colorings on 2ω such that an n-coloring on a Polish space X has uncountable homogeneity number iff it contains a coloring from the list. The proof is based on a generalization of a Ramsey-style theorem of Blass. If time permits, I will also say something about the existence of universal 2-colorings.



Angelegt am Mittwoch, 23.11.2011 09:10 von pfeifer
Geändert am Mittwoch, 23.11.2011 09:46 von pfeifer
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