Finite Ordered Sets: Concepts, Results and Uses

ISBN-13: 9781107013698 / Angielski / Twarda / 2012 / 350 str.

Nathalie Caspard

Opis

A comprehensive account that gives equal attention to the combinatorial, logical and applied aspects of partially ordered sets.

Recenzje

"Of special value are the many paragraphs devoted to the historical development of the topics considered with ample citations to the literature on ordered sets from the earliest to the very recent"
-Joel Berman, Mathematical Reviews

Spis treści

Preface; 1. Concepts and examples; 2. Particular classes of ordered sets; 3. Morphisms of ordered sets; 4. Chains and antichains; 5. Ordered sets and distributive lattices; 6. Order codings and dimensions; 7. Some uses; A. About algorithmic complexity; B. The 58 non-isomorphic connected ordered sets with at most 5 elements; C. The numbers of ordered sets and of non-isomorphic ordered sets; D. Documentation marks; List of symbols; Bibliography; Index.