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- W2952477107 abstract "A theory of allocation maps has been developed by J. F. Feinstein and M. J. Heath in order to prove a theorem, using Zorn's lemma, concerning the compact plane sets known as Swiss cheese sets. These sets are important since, as domains, they provide a good source of examples in the theory of uniform algebras and rational approximation. In this paper we take a more direct approach when proving their theorem by using transfinite induction and cardinality. An explicit reference to a theory of allocation maps is no longer required. Instead we find that the repeated application of a single operation developed from the final step of the proof by Feinstein and Heath is enough." @default.
- W2952477107 created "2019-06-27" @default.
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- W2952477107 date "2010-10-12" @default.
- W2952477107 modified "2023-09-27" @default.
- W2952477107 title "An inductive proof of the Feinstein-Heath Swiss cheese classicalisation theorem" @default.
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