The Pontryagin Duality of Compact O-Dimensional Semilattices and Its Applications

The Pontryagin Duality of Compact O-Dimensional Semilattices and Its Applications PDF Author: K.H. Hofmann
Publisher: Springer
ISBN: 3540377417
Category : Mathematics
Languages : en
Pages : 139

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The Pontryagin Duality of Compact O-Dimensional Semilattices and Its Applications

The Pontryagin Duality of Compact O-Dimensional Semilattices and Its Applications PDF Author: K.H. Hofmann
Publisher: Springer
ISBN: 3540377417
Category : Mathematics
Languages : en
Pages : 139

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Book Description


The Pontryagin Duality of Compact O-dimensional Semi-lattices and Its Applications

The Pontryagin Duality of Compact O-dimensional Semi-lattices and Its Applications PDF Author: Karl Heinrich Hofmann
Publisher:
ISBN:
Category : Duality theory (Mathematics)
Languages : en
Pages : 148

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Continuous Lattices and Their Applications

Continuous Lattices and Their Applications PDF Author: Rudolf E. Hoffmann
Publisher: CRC Press
ISBN: 1000154173
Category : Computers
Languages : en
Pages : 392

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Book Description
This book contains articles on the notion of a continuous lattice, which has its roots in Dana Scott's work on a mathematical theory of computation, presented at a conference on categorical and topological aspects of continuous lattices held in 1982.

Natural Dualities for the Working Algebraist

Natural Dualities for the Working Algebraist PDF Author: David M. Clark
Publisher: Cambridge University Press
ISBN: 9780521454155
Category : Mathematics
Languages : en
Pages : 372

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Book Description
First text in subject; aimed at algebraists, category theorists in mathematics and computer science.

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics PDF Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9401512337
Category : Mathematics
Languages : en
Pages : 543

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Book Description
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fme subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Canadian Mathematical Bulletin

Canadian Mathematical Bulletin PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 130

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Lectures in Universal Algebra

Lectures in Universal Algebra PDF Author: L. Szabó
Publisher: Elsevier
ISBN: 1483295400
Category : Mathematics
Languages : en
Pages : 657

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Book Description
These 34 papers cover topics ranging from various problems on varieties and other classes of algebras including categorical aspects and duality theory to the structure of finite algebras and clones on finite (or infinite) sets.As well as survey articles by invited speakers, the papers contain full proofs of new results not published elsewhere. The volume ends with a list of problems.

Stone Spaces

Stone Spaces PDF Author: Peter T. Johnstone
Publisher: Cambridge University Press
ISBN: 9780521337793
Category : Mathematics
Languages : en
Pages : 398

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Book Description
A unified treatment of the corpus of mathematics that has developed out of M. H. Stone's representation theorem for Boolean algebras (1936) which has applications in almost every area of modern mathematics.

An Index and Other Useful Information

An Index and Other Useful Information PDF Author: A. Dold
Publisher: Springer
ISBN: 1489945814
Category : Mathematics
Languages : en
Pages : 82

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Book Description


Dualisability

Dualisability PDF Author: Jane G. Pitkethly
Publisher: Springer Science & Business Media
ISBN: 0387275703
Category : Mathematics
Languages : en
Pages : 271

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Book Description
Natural duality theory is one of the major growth areas within general algebra. This text provides a short path to the forefront of research in duality theory. It presents a coherent approach to new results in the area, as well as exposing open problems. Unary algebras play a special role throughout the text. Individual unary algebras are relatively simple and easy to work with. But as a class they have a rich and complex entanglement with dualisability. This combination of local simplicity and global complexity ensures that, for the study of natural duality theory, unary algebras are an excellent source of examples and counterexamples. A number of results appear here for the first time. In particular, the text ends with an appendix that provides a new and definitive approach to the concept of the rank of a finite algebra and its relationship with strong dualisability.