AMS Bookstore LOGO amslogo
Return to List

AMS TextbooksAMS Applications-related Books

Beyond Topology
Edited by: Frédéric Mynard, Georgia Southern University, Statesboro, GA, and Elliott Pearl, Toronto, ON, Canada
cover
SEARCH THIS BOOK:

Contemporary Mathematics
2009; 383 pp; softcover
Volume: 486
ISBN-10: 0-8218-4279-X
ISBN-13: 978-0-8218-4279-9
List Price: US$109
Member Price: US$87.20
Order Code: CONM/486
[Add Item]

The purpose of this collection is to guide the non-specialist through the basic theory of various generalizations of topology, starting with clear motivations for their introduction. Structures considered include closure spaces, convergence spaces, proximity spaces, quasi-uniform spaces, merotopic spaces, nearness and filter spaces, semi-uniform convergence spaces, and approach spaces. Each chapter is self-contained and accessible to the graduate student, and focuses on motivations to introduce the generalization of topologies considered, presenting examples where desirable properties are not present in the realm of topologies and the problem is remedied in the more general context. Then, enough material will be covered to prepare the reader for more advanced papers on the topic. While category theory is not the focus of the book, it is a convenient language to study these structures and, while kept as a tool rather than an object of study, will be used throughout the book. For this reason, the book contains an introductory chapter on categorical topology.

Readership

Graduate students and research mathematicians interested in topology, geometry, analysis, and the foundations of mathematics.

Powered by MathJax

  AMS Home | Comments: webmaster@ams.org
© Copyright 2014, American Mathematical Society
Privacy Statement

AMS Social

AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia