PhD Dissertation Defense: “Trees and ordinal indices in C(K) spaces for K countable compact” | Department of Mathematics
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PhD Dissertation Defense: “Trees and ordinal indices in C(K) spaces for K countable compact”

Event Information
Speaker: 
Koshal Dahal
Event Location: 
GAB 438
Event Date: 
Friday, May 29, 2015 - 2:00pm

Professor Bunyamin Sari invites you to attend the PhD dissertation defense of Koshal Dahal, May 29th at 2:00 pm in GAB 438. Cake and coffee will be served in GAB 472 following this event.

"Trees and ordinal indices in C(K) spaces for K countable compact"

Abstract:

We study the ordinal indices for the lattice trees introduced by Bourgain, Rosenthal and Schechtman in the Banach spaces of continuous functions on countable compact spaces. We give some lower estimates of the ordinal indices in C(ω^α) for α < ω1 and an upper estimate for c0. As an application, we give a simple proof of a classical theorem of Cambern that the Banach-Mazur distance between c0 and c, the Banach space of convergent sequences, is equal to 3.