Large entire cross-sections of second category sets in \(\mathbb {R}^{n+1}\)

DOI10.1016/J.TOPOL.2006.04.009zbMath1109.03048OpenAlexW1966085300MaRDI QIDQ857051

Maxim R. Burke

Publication date: 14 December 2006

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2006.04.009

zbMATH Keywords

entire functionoracle-cc forcingseveral complex variablesCarleman's theoremeverywhere second categoryHoischen

Mathematics Subject Classification ID

Descriptive set theory (03E15) Approximation in the complex plane (30E10) Consistency and independence results (03E35)

Related Items (3)

Approximation and interpolation by entire functions with restriction of the values of the derivatives ⋮ Approximation and interpolation by large entire cross-sections of second category sets in \(\mathbb R^{n+1}\) ⋮ Approximation by Entire Functions in the Construction of Order-Isomorphisms and Large Cross-Sections

Cites Work

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• Eine Verschärfung eines Approximationssatzes von Carleman
• Set theory. An introduction to independence proofs. 2nd print
• Category Analogue of Sup-Measurability Problem
• Models in Which Every Nonmeager Set is Nonmeager in a Nowhere Dense Cantor Set
• Entire functions mapping uncountable dense sets of reals onto each other monotonically
• Approximation of a Function and its Derivatives by Entire Functions of Several Variables
• Independence results
• A big symmetric planar set with small category projections

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