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A Characterization of Homeomorphic Bernoulli Trial Measures. (open access)

A Characterization of Homeomorphic Bernoulli Trial Measures.

We give conditions which, given two Bernoulli trial measures, determine whether there exists a homeomorphism of Cantor space which sends one measure to the other, answering a question of Oxtoby. We then provide examples, relating these results to the notions of good and refinable measures on Cantor space.
Date: August 2006
Creator: Yingst, Andrew Q.
System: The UNT Digital Library
A Computation of Partial Isomorphism Rank on Ordinal Structures (open access)

A Computation of Partial Isomorphism Rank on Ordinal Structures

We compute the partial isomorphism rank, in the sense Scott and Karp, of a pair of ordinal structures using an Ehrenfeucht-Fraisse game. A complete formula is proven by induction given any two arbitrary ordinals written in Cantor normal form.
Date: August 2006
Creator: Bryant, Ross
System: The UNT Digital Library