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Set theory of the real line
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1	Covering the real line with translates of a zero dimensional compact set Andr´as M´ath´e∗ Abstract We construct a compact set C of Hausdorff dimension zero so that cof (N ) many translates of C cover the real line. Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2012-01-10 05:31:55 Topology Mathematics Space Metric geometry General topology Dimension theory Fractals Hausdorff dimension Lebesgue measure Base Riemann surfaces Differential forms on a Riemann surface
2	CONTENTS 1. Nonstandard analysis on the real line 1. Introduction to nonstandard real line 2. Development of nonstandard analysis 1 Add to Reading List Source URL: www.ipm.ac.ir Language: English - Date: 2011-09-28 00:50:08 Abstract algebra Ultraproduct Internal set Set theory Real number Parametrization Zermelo–Fraenkel set theory Criticism of non-standard analysis Non-standard analysis Mathematics Mathematical logic
3	2011 U OF I UNDERGRAD MATH CONTEST 1. Given distinct points a1 < a2 < Pa3 < · · · < a100 on the real line, determine, with proof, the exact set of real numbers x for which the sum 100 i=1 \|x − ai \| takes its minimal Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2011-03-11 18:02:38 Mathematical notation Sequence Number theory Summation Integer Pi Liouville number Thue–Morse sequence Mathematics Abstract algebra Elementary mathematics
4	2011 U OF I UNDERGRAD MATH CONTEST Solutions 1. Given distinct points a1 < a2 < a3 < · · · < a100 on the real line, determine, with proof, the exact set of real numbers x P100 for which the sum i=1 \|x − ai \| takes i Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2011-03-11 18:02:38 Complex analysis Combinatorics Integer sequences Number theory Pi Factorial Summation Eisenstein series Particular values of the Gamma function Mathematics Mathematical analysis Mathematical series
5	PDF Document Add to Reading List Source URL: tomek.bartoszynski.googlepages.com Language: English Tomek Bartoszyński Lady Davis Fellows Saharon Shelah Ultrafilter Set theory of the real line Mathematical logic Mathematics Logic