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Author : Harold R. Bennett
Publisher :
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4.57/5 ( download)
Download or read book Topology and Order Structures written by Harold R. Bennett and published by . This book was released on 1981 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H.R. Bennett
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.35/5 ( download)
Download or read book Topology and Order Structures written by H.R. Bennett and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harold R. Bennett
Publisher :
ISBN 13 :
Total Pages : 107 pages
Book Rating : 4.66/5 ( download)
Download or read book Topology and Order Structures written by Harold R. Bennett and published by . This book was released on 1983 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerhard Preuß
Publisher : Springer Science & Business Media
ISBN 13 : 9400928599
Total Pages : 316 pages
Book Rating : 4.96/5 ( download)
Download or read book Theory of Topological Structures written by Gerhard Preuß and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author : Alexander Arhangel’skii
Publisher : Springer Science & Business Media
ISBN 13 : 949121635X
Total Pages : 794 pages
Book Rating : 4.50/5 ( download)
Download or read book Topological Groups and Related Structures, An Introduction to Topological Algebra. written by Alexander Arhangel’skii and published by Springer Science & Business Media. This book was released on 2008-05-01 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraandtopology,thetwofundamentaldomainsofmathematics,playcomplem- tary roles. Topology studies continuity and convergence and provides a general framework to study the concept of a limit. Much of topology is devoted to handling in?nite sets and in?nity itself; the methods developed are qualitative and, in a certain sense, irrational. - gebra studies all kinds of operations and provides a basis for algorithms and calculations. Very often, the methods here are ?nitistic in nature. Because of this difference in nature, algebra and topology have a strong tendency to develop independently, not in direct contact with each other. However, in applications, in higher level domains of mathematics, such as functional analysis, dynamical systems, representation theory, and others, topology and algebra come in contact most naturally. Many of the most important objects of mathematics represent a blend of algebraic and of topologicalstructures. Topologicalfunctionspacesandlineartopologicalspacesingeneral, topological groups and topological ?elds, transformation groups, topological lattices are objects of this kind. Very often an algebraic structure and a topology come naturally together; this is the case when they are both determined by the nature of the elements of the set considered (a group of transformations is a typical example). The rules that describe the relationship between a topology and an algebraic operation are almost always transparentandnatural—theoperationhastobecontinuous,jointlyorseparately.
Author : Lou Van den Dries
Publisher : Cambridge University Press
ISBN 13 : 0521598389
Total Pages : 196 pages
Book Rating : 4.85/5 ( download)
Download or read book Tame Topology and O-minimal Structures written by Lou Van den Dries and published by Cambridge University Press. This book was released on 1998-05-07 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes give a self-contained treatment of the theory of o-minimal structures from a geometric and topological viewpoint, assuming only rudimentary algebra and analysis. This book should be of interest to model theorists, analytic geometers and topologists.
Author : Adam Clay
Publisher : American Mathematical Soc.
ISBN 13 : 1470431068
Total Pages : 154 pages
Book Rating : 4.68/5 ( download)
Download or read book Ordered Groups and Topology written by Adam Clay and published by American Mathematical Soc.. This book was released on 2016-11-16 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the connections between topology and ordered groups. It begins with a self-contained introduction to orderable groups and from there explores the interactions between orderability and objects in low-dimensional topology, such as knot theory, braid groups, and 3-manifolds, as well as groups of homeomorphisms and other topological structures. The book also addresses recent applications of orderability in the studies of codimension-one foliations and Heegaard-Floer homology. The use of topological methods in proving algebraic results is another feature of the book. The book was written to serve both as a textbook for graduate students, containing many exercises, and as a reference for researchers in topology, algebra, and dynamical systems. A basic background in group theory and topology is the only prerequisite for the reader.
Author : Tim Maudlin
Publisher : Oxford University Press
ISBN 13 : 0198701306
Total Pages : 374 pages
Book Rating : 4.09/5 ( download)
Download or read book New Foundations for Physical Geometry written by Tim Maudlin and published by Oxford University Press. This book was released on 2014-02 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.
Author : Leopoldo Nachbin
Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.82/5 ( download)
Download or read book Topology and Order written by Leopoldo Nachbin and published by . This book was released on 1965 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dikran Dikranjan
Publisher : Springer Science & Business Media
ISBN 13 : 9780792337720
Total Pages : 386 pages
Book Rating : 4.27/5 ( download)
Download or read book Categorical Structure of Closure Operators written by Dikran Dikranjan and published by Springer Science & Business Media. This book was released on 1995-10-31 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our motivation for gathering the material for this book over aperiod of seven years has been to unify and simplify ideas wh ich appeared in a sizable number of re search articles during the past two decades. More specifically, it has been our aim to provide the categorical foundations for extensive work that was published on the epimorphism- and cowellpoweredness problem, predominantly for categories of topological spaces. In doing so we found the categorical not ion of closure operators interesting enough to be studied for its own sake, as it unifies and describes other significant mathematical notions and since it leads to a never-ending stream of ex amples and applications in all areas of mathematics. These are somewhat arbitrarily restricted to topology, algebra and (a small part of) discrete mathematics in this book, although other areas, such as functional analysis, would provide an equally rich and interesting supply of examples. We also had to restrict the themes in our theoretical exposition. In spite of the fact that closure operators generalize the uni versal closure operations of abelian category theory and of topos- and sheaf theory, we chose to mention these aspects only en passant, in favour of the presentation of new results more closely related to our original intentions. We also needed to refrain from studying topological concepts, such as compactness, in the setting of an arbitrary closure-equipped category, although this topic appears prominently in the published literature involving closure operators.
