Universal Spaces

Start: 03/25/2015 - 4:15pm
End  : 03/25/2015 - 5:15pm


Asuman Aksoy, Claremont McKenna College


In a paper published posthumously in 1927 (Bull. Sci. Math 51(1927) 43-64 and 74–96), P.S. Urysohn constructed a complete, separable metric space that contains an isometric copy of every complete separable metric space. This result is now referred to as the Urysohn universal space. In this talk, I examine Urysohn’s original construction and various convexity properties of this “special” universal space and show that it has a finite ball intersection property even though the Urysohn universal space is not hyperconvex. This is joint work with Z. Ibragimov, California State University, Fullerton.

Shanahan Center for Teaching and Learning (SCTL), at Harvey Mudd, Basement, B460

Aksoy.pdf106.07 KB

Claremont Graduate University | Claremont McKenna | Harvey Mudd | Pitzer | Pomona | Scripps
Proudly Serving Math Community at the Claremont Colleges Since 2007
Copyright © 2018 Claremont Center for the Mathematical Sciences