Entire functions mapping uncountable dense sets of reals onto each other monotonically

DOI10.1090/S0002-9947-09-04924-1zbMath1165.03034OpenAlexW2060932425MaRDI QIDQ3629380

Maxim R. Burke

Publication date: 27 May 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-09-04924-1

zbMATH Keywords

entire functionsecond categoryHoischen's theoremoracle-cc forcingorder-isomorphismCarleman's theorem

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Consistency and independence results (03E35)

Related Items (9)

Approximation and interpolation by entire functions with restriction of the values of the derivatives ⋮ Large entire cross-sections of second category sets in \(\mathbb {R}^{n+1}\) ⋮ Approximation and interpolation by large entire cross-sections of second category sets in \(\mathbb R^{n+1}\) ⋮ Sparse analytic systems ⋮ Forcing and differentiable functions ⋮ Approximation by Entire Functions in the Construction of Order-Isomorphisms and Large Cross-Sections ⋮ Simultaneous approximation and interpolation of increasing functions by increasing entire functions ⋮ Universal Entire Functions That Define Order Isomorphisms of Countable Real Sets ⋮ Comonotone approximation and interpolation by entire functions

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• Entire functions mapping countable dense subsets of the reals onto each other monotonically
• Conformal Equivalence of Countable Dense Sets
• Entire Functions Mapping Countable Dense Subsets of the Reals Onto Each Other Monotonically

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