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Mathematics Colloquium

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Date:  Friday, March 24, 2006

Title:  The L-Space Problem

Abstract:  Two natural and well studied properties of a topological space are the hereditary separability and the hereditary Lindelof property. These properties are equivalent in the class of metric spaces and seem very closely related in general. While these properties are topological, the study of their relationship is essentially Ramsey theoretic in nature. The S and L space problems --- which concern whether one property implies the other --- were focal problems in set theory in the 1970s and 1980s. In this talk, I will give an exposition and set theoretic analysis of these problems and their solutions. The talk will finish with my recent construction of an L-space --- a non-separable, hereditarily Lindelof space.


Speaker:  Justin Moore
Institution:  Boise State University

 

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