Prof. Émile Borel

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Borel structures and Borel theories

We show that there is a complete, consistent Borel theory which has no “Borel model” in the following strong sense: There is no structure satisfying the theory for which the elements of the structure are equivalence classes under some Borel equivalence relation and the interpretations of the relations and function symbols are Borel in the natural sense. We also investigate Borel isomorphisms be...

Borel Conjecture and Dual Borel Conjecture

We show that it is consistent that the Borel Conjecture and the dual Borel Conjecture hold simultaneously.

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distinct roles in heparan sulfate modifications and embryonic and larval development in Caenorhabditis elegans Katsufumi Dejima , Daisuke Murata, Souhei Mizuguchi, Kazuko H. Nomura, Tomomi Izumikawa, Hiroshi Kitagawa, Keiko Gengyo-Ando , Sawako Yoshina, Tomomi Ichimiya, Shoko Nishihara, Shohei Mitani and Kazuya Nomura* From the Department of Biology, Faculty of Sciences 33, Kyushu University, F...

Prof. Spearman