Universal Spaces

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

Category
Colloquium

Speaker
Asuman Aksoy, Claremont McKenna College

Abstract

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.

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

AttachmentSize
Aksoy.pdf106.07 KB