Overview
- Authors:
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Gabriela Cristescu
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Aurel Vlaicu University of Arad, Arad, Romania
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Liana Lupşa
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Babeş-Bolyai University of Cluj-Napoca, Cluj-Napoca, Romania
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Table of contents (13 chapters)
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Non-connected convexity properties
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- Gabriela Cristescu, Liana Lupşa
Pages 3-21
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- Gabriela Cristescu, Liana Lupşa
Pages 23-59
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- Gabriela Cristescu, Liana Lupşa
Pages 61-87
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- Gabriela Cristescu, Liana Lupşa
Pages 89-111
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- Gabriela Cristescu, Liana Lupşa
Pages 113-132
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- Gabriela Cristescu, Liana Lupşa
Pages 133-142
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- Gabriela Cristescu, Liana Lupşa
Pages 143-152
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- Gabriela Cristescu, Liana Lupşa
Pages 153-223
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Applications
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Front Matter
Pages 225-225
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- Gabriela Cristescu, Liana Lupşa
Pages 227-246
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- Gabriela Cristescu, Liana Lupşa
Pages 247-262
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- Gabriela Cristescu, Liana Lupşa
Pages 263-283
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- Gabriela Cristescu, Liana Lupşa
Pages 285-316
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- Gabriela Cristescu, Liana Lupşa
Pages 317-337
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Back Matter
Pages 339-368
About this book
Lectori salutem! The kind reader opens the book that its authors would have liked to read it themselves, but it was not written yet. Then, their only choice was to write this book, to fill a gap in the mathematicalliterature. The idea of convexity has appeared in the human mind since the antiquity and its fertility has led to a huge diversity of notions and of applications. A student intending a thoroughgoing study of convexity has the sensation of swimming into an ocean. It is due to two reasons: the first one is the great number of properties and applications of the classical convexity and second one is the great number of generalisations for various purposes. As a consequence, a tendency of writing huge books guiding the reader in convexity appeared during the last twenty years (for example, the books of P. M. Gruber and J. M. Willis (1993) and R. J. Webster (1994)). Another last years' tendency is to order, from some point of view, as many convexity notions as possible (for example, the book of I. Singer (1997)). These approaches to the domain of convexity follow the previous point of view of axiomatizing it (A. Ghika (1955), W. Prenowitz (1961), D. Voiculescu (1967), V. W. Bryant and R. J. Webster (1969)). Following this last tendency, our book proposes to the reader two classifications of convexity properties for sets, both of them starting from the internal mechanism of defining them.
Authors and Affiliations
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Aurel Vlaicu University of Arad, Arad, Romania
Gabriela Cristescu
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Babeş-Bolyai University of Cluj-Napoca, Cluj-Napoca, Romania
Liana Lupşa
