A contrast to the low basis theorem
type: Item
instance of: scholarly article
title: A contrast to the low basis theorem
zbMATH Open document ID: 1012.03053
DOI: 10.1016/S0168-0072(01)00116-6
author: David Lippe
published in: Annals of Pure and Applied Logic
publication date: 2002-12-02T00:00:00Z
review text: In the paper the author proves the existence of a perfect \(\Pi^{0}_{1}\) set of reals such that the uniform join of any of its infinite subsets is above \(0'\). It is also shown how this demonstrates the optimality of the Low Basis Theorem.
reviewed by: Roman Murawski
Mathematics Subject Classification ID: 03D30
Mathematics Subject Classification ID: 03D25
Mathematics Subject Classification ID: 03H15
zbMATH DE Number: 1838861
zbMATH Keywords: perfect \(\Pi^{0}_{1}\) set of reals
zbMATH Keywords: low basis theorem
MaRDI profile type: Publication
cites work: ∏ 0 1 Classes and Degrees of Theories
full work available at URL: s0168-0072(01)00116-6
OpenAlex ID: W2094845946
Recommended article: Q3986436
Recommended article: Q3691675
Recommended article: A Remark on Löwner's Theorem
Recommended article: A low-energy decomposition theorem
Recommended article: The basis problem revisited
Recommended article: An Unconventional Orthonormal Basis Provides an Unexpected Counterexample
Recommended article: The Hilbert basis theorem revisited
Recommended article: Q3785032
Recommended article: Q3351966
Recommended article: Low-dimensional lattice basis reduction revisited
description: scientific article; zbMATH DE number 1838861