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Description of most starshaped surfaces

Published online by Cambridge University Press:  28 June 2011

Tudor Zamfirescu
Affiliation:
Department of Mathematics, University of Dortmund, West Germany

Extract

After having investigated in [7] generic properties of compact starshaped sets in ℝd, we shall restrict here our attention to compact starshaped sets whose kernels have positive dimension. While the main results in [7] are of a topological nature and concern the whole sets, the theorems presented here describe, for kernels of codimension 0 or 1, the local aspect of the boundaries and include, for kernels of positive dimension less than d— 1, both types of statements.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1989

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References

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