|
Cahiers du Centre de Logique, vol. 12ReferencesPaul van Praag (éditeur), Aspects de la dualité en mathématique This Cahier can be ordered from the publisher Academia-L'Harmattan. SummaryThis volume contains four papers that were contributed to the "Groupe de Contact" on duality in mathematics, held in 2001 at the "Université de Mons-Hainaut". Karine Chemla and Serge Pahaut show that among the sources of duality in mathematics there was the observation, made by Gergonne, that one obtains new theorems if the terms " angle " and " side " are exchanged in the Euler's sentences about spherical triangles. Francis Buekenhout surveys the history from the opposition between Gergonne and Poncelet to the classicals groups and the theory of Tits buildings. Maurice Boffa investigates the role of the continuum hypothesis in the duality of sets of real numbers of measure zero and the meager sets. Francis Borceux shows that category theory is a particularly suitable setting for a general approach to duality; he establishes with various examples the natural and fruitful character of the concept of dual category of a given category. Table of contents
|
|||||||||||||||||||||||||||||||
|
October 23, 2015 |
|||||||||||||||||||||||||||||||
