Omnific Integer Parts of Surreal Ordered Fields
by
Philip Ehrlich
Ohio University
March 12, 2004
4:45 P.M.
MW 154
ABSTRACT: Integer parts of surreal ordered fields are intriguing generalizations
of the ordered ring of integers that arise in the
study of surreal numbers. The seminar presentation will provide an introduction
to these structures and be based largely on results of
mine contained in the following two works:
"Number Systems with Simplicity Hierarchies: A Generalization of Conway's
Theory of Surreal Numbers," The Journal of Symbolic
Logic 66 (2001), pp. 1231-1258.
"Fields of Surreal Numbers and Exponentiation" (co-authored with Lou van
den Dries), Fundamenta Mathematicae 167 (2001), No. 2,
pp. 173-188; erratum, ibid. 168, No. 2 (2001), pp. 295-297.