Richard Basener - IBM
Higher Dimensional Boundaries
We may define a subset X to be a "boundary" for a collection of functions on some set M if all of the functions attain their maximum value (or maximum modulus for complex-valued functions) somewhere on X. This is a very useful idea in studying one dimensional complex sets. This talk will describe the author's generalization of the notion of "boundary" to a concept which is useful for studying higher dimensional complex structure.
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