Author: Harold R. BennettPublisher:
ISBN:
Category : Linear topological spaces, Ordered
Languages : en
Pages : 140
Book Description
Topology and Order
Author: Leopoldo NachbinPublisher:
ISBN:
Category : Topology
Languages : en
Pages : 132
Book Description
Topology and Order Structures
Author: Harold R. BennettPublisher:
ISBN:
Category : Linear topological spaces, Ordered
Languages : en
Pages : 140
Book Description
Topology and Order
Author: Leopoldo NachbinPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 136
Book Description
Ordered Groups and Topology
Author: Adam ClayPublisher: American Mathematical Soc.
ISBN: 1470431068
Category : Mathematics
Languages : en
Pages : 167
Book Description
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.
Order, Topology and Preference (Classic Reprint)
Author: Murat R. SertelPublisher: Forgotten Books
ISBN: 9781332881116
Category : Mathematics
Languages : en
Pages : 76
Book Description
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.
Categorical Foundations
Author: Maria Cristina PedicchioPublisher: Cambridge University Press
ISBN: 9780521834148
Category : Mathematics
Languages : en
Pages : 452
Book Description
Publisher Description
Counterexamples in Topology
Author: Lynn Arthur SteenPublisher: Courier Corporation
ISBN: 0486319296
Category : Mathematics
Languages : en
Pages : 274
Book Description
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.
Topology and Order Structures
Author: H.R. BennettTopology and Order Structures
Author: Harold R. BennettOrdered Sets
Author: Bernd SchröderPublisher: Springer Science & Business Media
ISBN: 1461200539
Category : Mathematics
Languages : en
Pages : 401
Book Description
An introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. The text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory course.