عنوان

Ordered Sets

شابک

9789400977983

شابک

9789400978003

شماره

b408597

عنوان اصلي

Ordered Sets

نام عام مواد

[Book]

ساير اطلاعات عنواني

Proceedings of the NATO Advanced Study Institute held at Banff, Canada, August 28 to September 12, 1981 /

نام نخستين پديدآور

edited by Ivan Rival.

محل نشرو پخش و غیره

Dordrecht :

نام ناشر، پخش کننده و غيره

Springer Netherlands,

تاریخ نشرو بخش و غیره

1982.

عنوان فروست

NATO Advanced Study Institutes Series, Series C - Mathematical and Physical Sciences,

مشخصه جلد

83

شاپا ي ISSN فروست

1389-2185 ;

متن يادداشت

I. Structure and Arithmetic of Ordered Sets -- Arithmetic of ordered sets -- Exponentiation and duality -- The retract construction -- II. Linear Extensions -- Linear extensions of ordered sets -- Dimension theory for ordered sets -- Linear extensions of partial orders and the FKG inequality -- III. Set Theory and Recursion -- Order types of real numbers and other uncountable orderings -- On the cofinality of partially ordered sets -- Infinite ordered sets, a recursive perspective -- IV. Lattice Theory -- The role of order in lattice theory -- Some order theoretic questions about free lattices and free modular lattices -- An introduction to the theory of continuous lattices -- Ordered sets in geometry -- Restructuring lattice theory: an approach based on hierarchies of concepts -- V. Enumeration -- Extremal problems in partially ordered sets -- Enumeration in classes of ordered structures -- The Möbius function of a partially ordered set -- An introduction to Cohen-Macaulay partially ordered sets -- VI. Applications of Ordered Sets to Computer Sciences -- Ordered sets and linear programming -- Machine scheduling with precedence constraints -- Some ordered sets in computer science -- VII. Applications of Ordered Sets to Social Sciences -- Ordered sets and social sciences -- Some social science applications of ordered sets -- VIII. Problem Sessions -- Order types -- Combinatorics -- Linear extensions of finite ordered sets -- Scheduling and sorting -- Graphs and enumeration -- Social science and operations research -- Recursion and game theory -- Order-preserving maps -- Lattices -- Miscellaneous -- IX. A Bibliography.

بدون عنوان

0

متن يادداشت

This volume contains all twenty-three of the principal survey papers presented at the Symposium on Ordered Sets held at Banff, Canada from August 28 to September 12, 1981. The Symposium was supported by grants from the NATO Advanced Study Institute programme, the Natural Sciences and Engineering Research Council of Canada, the Canadian Mathematical Society Summer Research Institute programme, and the University of Calgary. tve are very grateful to these Organizations for their considerable interest and support. Over forty years ago on April 15, 1938 the first Symposium on Lattice Theory was held in Charlottesville, U.S.A. in conjunction with a meeting of the American Mathematical Society. The principal addresses on that occasion were Lattices and their applications by G. Birkhoff, On the application of structure theory to groups by O. Ore, and The representation of Boolean algebras by M. H. Stone. The texts of these addresses and three others by R. Baer, H. M. MacNeille, and K. Menger appear in the Bulletin of the American Mathematical Society, Volume 44, 1938. In those days the theory of ordered sets, and especially lattice theory was described as a "vigorous and promising younger brother of group theory." Some early workers hoped that lattice theoretic methods would lead to solutions of important problems in group theory.

شماره استاندارد بين المللي کتاب و موسيقي

9789400978003

عنوان

Springer eBooks

عنوان اصلي به زبان ديگر

Proceedings of the NATO Advanced Study Institute, Banff, Canada, August 28-September 12, 1981

موضوع مستند نشده

Algebra.

موضوع مستند نشده

Computational complexity.

موضوع مستند نشده

Computer science.

مستند نام اشخاص تاييد نشده

Rival, Ivan.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307160600.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y