A Course in Point Set Topology (Undergraduate Texts in Mathematics)

John B. Conway

ISBN 10: 3319023675 / ISBN 13: 9783319023670

Published by Springer International Publishing, 2013

About this Item

Gebraucht - Sehr gut SG - leichte Beschädigungen oder Verschmutzungen, ungelesenes Mängelexemplar, gestempelt - 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.

Seller Inventory # INF1000546675

Bibliographic Details

• Title: A Course in Point Set Topology (Undergraduate Texts in Mathematics)
• Publisher: Springer International Publishing
• Publication Date: 2013
• Language: English
• ISBN 10: 3319023675
• ISBN 13: 9783319023670
• Binding: Gebundene Ausgabe
• Condition: Sehr gut
• Dimensions: 241W x 160H x 13D millimeters 241 millimeters width by 160 millimeters height by 13 millimeters depth
• Weight: 406 grams

About this title

Synopsis

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.

About the Author

John B. Conway is Professor Emeritus of the Department of Mathematics at The George Washington University. He is the author of other well-regarded textbooks, including but not limited to Functions of One Complex Variable, A Course in Functional Analysis, and A Course in Operator Theory.