Richard McGovern
Topological Properties of Some Infinite Dimensional Spaces
A number of familiar geometric objects such as spheres or matrix groups can readily be generalized to an infinite dimensional setting. When this is done, some of their topological properties remain the same and some change in surprising ways. Many of these changes can be derived from relatively simple algebraic calculations, which will be presented.
This talk is intended as a very gentle introduction to operator theory and some of the topological techniques that have revolutionized this field in the last twenty years.
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