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Networks in selected topics in Topology and Functional Analysis

   
A Colloquium in Mathematics
Department of Applied Mathematics, Faculty of Sciences
 
Networks in selected topics in Topology and Functional Analysis

Dr. Saak Gabriyelyan, Ben-Gurion University
Sunday, November 16 | 15:00 | Science Building (8), Room 424
 
Abstract:
 
We introduce several new types of networks and generalized metric spaces and study some important classes of topological vector spaces (in particular, the spaces C_c(X) and C_p(X) of continuous functions on X with the compact-open topology and the pointwise topology, respectively;
 
locally convex spaces with the weak topology) and topological groups which have a countable network of different types. In particular, new metrization criterions for topological groups and topological vector spaces with Baire-type properties are given.
 
We provide also some applications of the obtained results to the study of free locally convex spaces and the free (abelian) topological groups over Tychonoff spaces. Almost all results are completely new, and many of them have not even published yet.
 
 

For further information: David Garber, Department of Applied Mathematics, Faculty of Sciences, Holon Institute of Technology
Tel: +972-3-5026737 | Fax: +972-3-5026737 | E-mail: garber@hit.ac.il
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