Mathematics Colloquium

Mathematics Colloquium
Date and time
3:00 PM - 4:00 PM, November 03, 2020

Title: Characterizations of coarse and uniform embeddability into c_0(k)

By: Dr. Andrew Swift, Oklahoma University

Abstract:  Nonlinear geometry of Banach spaces has found applications in computer science and research into famous mathematical conjectures such as the Novikov conjecture.  One of the major open questions in the field is whether the coarse (large-scale) embeddability of a Banach space into another is equivalent to the uniform (small-scale) embeddability.  I will give a brief introduction to both types of embeddability and show that if the target space is c_0(k), where k is any cardinality, then the two types of embeddability are equivalent.  Both types of embeddability in this case can be characterized intrinsically in terms of metric covers using properties (uniform/coarse Stone property) analogous to the notion of paracompactness from topology.  These properties may be viewed as generalizations of the property that a space has finite (Lebesgue covering/asymptotic) dimension.

Zoom Meeting ID 933 6907 1997. Contact for the passcode to join.

Event sponsor


Open to public, alumni, current students, faculty
Zoom Meeting ID: 933 6907 1997