Peano curves in function algebras
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- by Larry Q. Eifler PDF
- Proc. Amer. Math. Soc. 32 (1972), 537-538 Request permission
Abstract:
We give a short proof of the following result which was obtained by Pełczyński. If X is an uncountable, compact metric space and if A is a function algebra on X, then there exists f in A such that $f(X)$ has interior in the plane.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 537-538
- MSC: Primary 46J10
- DOI: https://doi.org/10.1090/S0002-9939-1972-0296698-4
- MathSciNet review: 0296698