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Topology and Order

Topology and Order
Author: Leopoldo Nachbin
Publisher:
Total Pages: 132
Release: 1965
Genre: Topology
ISBN:

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Topology and Order Structures

Topology and Order Structures
Author: Harold R. Bennett
Publisher:
Total Pages: 140
Release: 1981
Genre: Linear topological spaces, Ordered
ISBN:

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Topology and Order

Topology and Order
Author: Leopoldo Nachbin
Publisher:
Total Pages: 136
Release: 1965
Genre: Mathematics
ISBN:

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Ordered Groups and Topology

Ordered Groups and Topology
Author: Adam Clay
Publisher: American Mathematical Soc.
Total Pages: 167
Release: 2016-11-16
Genre: Mathematics
ISBN: 1470431068

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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.


Categorical Foundations

Categorical Foundations
Author: Maria Cristina Pedicchio
Publisher: Cambridge University Press
Total Pages: 452
Release: 2004
Genre: Mathematics
ISBN: 9780521834148

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Order, Topology and Preference (Classic Reprint)

Order, Topology and Preference (Classic Reprint)
Author: Murat R. Sertel
Publisher: Forgotten Books
Total Pages: 76
Release: 2016-06-23
Genre: Mathematics
ISBN: 9781332881116

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Excerpt from Order, Topology and Preference The topic of Section 4, the theory of preference, is largely but not solely the motivation for the study as a whole. Thus, some of the facts and notions presented before that section are not used at all in Section 4. Sections 1 - 2 are preparatory. Section 3 exploits some consequences of connectivity, especially for normally preordered spaces, thus extending the early work of Eilenberg [5] and Nachbin [9] on order and topology. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.


Counterexamples in Topology

Counterexamples in Topology
Author: Lynn Arthur Steen
Publisher: Courier Corporation
Total Pages: 274
Release: 2013-04-22
Genre: Mathematics
ISBN: 0486319296

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Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Numerous problems and exercises correlated with examples. 1978 edition. Bibliography.


Elements of Topology

Elements of Topology
Author: Tej Bahadur Singh
Publisher: CRC Press
Total Pages: 551
Release: 2013-05-20
Genre: Mathematics
ISBN: 1482215667

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Topology is a large subject with many branches broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad variety of mathematical disciplines. Algebraic topology serves as a powerful tool for studying the problems in geometry and numerous other areas of mathematics. Ele