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Generalizations of a theorem of Carathéodory

About this Title

John R. Reay

Publication: Memoirs of the American Mathematical Society
Publication Year: 1965; Number 54
ISBNs: 978-0-8218-1254-9 (print); 978-0-8218-9999-1 (online)
DOI: https://doi.org/10.1090/memo/0054
MathSciNet review: 0188891

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Table of Contents

Chapters

• 0. Introduction
• 1. Standard generalizations of Carathéodory’s theorem
• 2. Positive bases of linear spaces
• 3. Carathéodory’s theorem with connectedness conditions
• 4. Carathéodory’s theorem with at least two points in $\operatorname {con} X$
• 5. Carathéodory’s theorem with symmetry conditions