A Course in Point Set Topology

Nonfiction, Science & Nature, Mathematics, Topology
Cover of the book A Course in Point Set Topology by John B. Conway, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: John B. Conway ISBN: 9783319023687
Publisher: Springer International Publishing Publication: November 4, 2013
Imprint: Springer Language: English
Author: John B. Conway
ISBN: 9783319023687
Publisher: Springer International Publishing
Publication: November 4, 2013
Imprint: Springer
Language: English

This textbook in point set topology is aimed at an upper-undergraduate audience. Its gentle pace will be useful to students who are still learning to write proofs. Prerequisites include calculus and at least one semester of analysis, where the student has been properly exposed to the ideas of basic set theory such as subsets, unions, intersections, and functions, as well as convergence and other topological notions in the real line. Appendices are included to bridge the gap between this new material and material found in an analysis course. Metric spaces are one of the more prevalent topological spaces used in other areas and are therefore introduced in the first chapter and emphasized throughout the text. This also conforms to the approach of the book to start with the particular and work toward the more general. Chapter 2 defines and develops abstract topological spaces, with metric spaces as the source of inspiration, and with a focus on Hausdorff spaces. The final chapter concentrates on continuous real-valued functions, culminating in a development of paracompact spaces.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This textbook in point set topology is aimed at an upper-undergraduate audience. Its gentle pace will be useful to students who are still learning to write proofs. Prerequisites include calculus and at least one semester of analysis, where the student has been properly exposed to the ideas of basic set theory such as subsets, unions, intersections, and functions, as well as convergence and other topological notions in the real line. Appendices are included to bridge the gap between this new material and material found in an analysis course. Metric spaces are one of the more prevalent topological spaces used in other areas and are therefore introduced in the first chapter and emphasized throughout the text. This also conforms to the approach of the book to start with the particular and work toward the more general. Chapter 2 defines and develops abstract topological spaces, with metric spaces as the source of inspiration, and with a focus on Hausdorff spaces. The final chapter concentrates on continuous real-valued functions, culminating in a development of paracompact spaces.

More books from Springer International Publishing

Cover of the book Materials Research for Manufacturing by John B. Conway
Cover of the book Communications and Networking by John B. Conway
Cover of the book DNA Information: Laws of Perception by John B. Conway
Cover of the book British Broadcasting and the Public-Private Dichotomy by John B. Conway
Cover of the book An Introduction to Ceramics by John B. Conway
Cover of the book Acute Care Surgery Handbook by John B. Conway
Cover of the book Sleepy or Sleepless by John B. Conway
Cover of the book Paleobiodiversity and Tectono-Sedimentary Records in the Mediterranean Tethys and Related Eastern Areas by John B. Conway
Cover of the book Internet Addiction by John B. Conway
Cover of the book 3D Printing and Bio-Based Materials in Global Health by John B. Conway
Cover of the book Distributed Computing and Internet Technology by John B. Conway
Cover of the book Welfare State at Risk by John B. Conway
Cover of the book Computer Vision – ECCV 2018 by John B. Conway
Cover of the book BMS Particles in Three Dimensions by John B. Conway
Cover of the book Advances in Internet, Data and Web Technologies by John B. Conway
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy