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Abstract. We prove that the strong polarized relationis consistent with ZFC, for a singular µ which is a limit of measurable cardinals.2000 Mathematics Subject Classification. 03E05, 03E55.

Partial seasonal migration is ubiquitous in many species. We documented this phenomenon in plains zebra (Equus burchelli) in Etosha National Park, Namibia (ENP), and provided a cost-benefit analysis as it relates to the spatial distribution of water, vegetation and endemic anthrax. This analysis draws upon two years of ENP zebra movement data that reveal two sub-populations: migrators and non-migrators. Migrators are shown to be behaviorally dominant in the way they utilize space and use water holes. We raise the possibility that the co-existence of these two groups reflects an evolutionary process, and the size of each group maintains evolutionary equilibrium.

We define Magidor cardinals as Jónsson cardinals upon replacing colorings of finite subsets by colorings of ℵ0-bounded subsets. Unlike Jónsson cardinals which appear at some low level of large cardinals, we prove the consistency of having quite large cardinals along with the fact that no Magidor cardinal exists.2010 Mathematics Subject Classification. 03E55.

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