# A Course in Point Set Topology Book pdf free download 2022 | John B. Conway

A Course in Point Set Topology book pdf | A Course in Point Set Topology by John B. Conway | A Course in Point Set Topology john B. Conway book pdf | A Course in Point Set Topology john B. Conway book pdf DOWNLOAD

## A Course in Point Set Topology by John B. Conway Book pdf free download

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.

### Key Features of this “A Course in Point Set Topology” Book

• Features undergraduate material in metric spaces, abstract topological spaces, and continuous real-valued functions.
• Develops the material from the more particular to the general concepts.
• Contains many exercises of varying difficulty.
• Includes interesting historical notes.

## BOOK CONTENTS

Chapter 1. Metric Spaces
1.1. Definitions and Examples
1.2. Sequences and Completeness
1.3. Continuity
1.4. Compactness
1.5. Connectedness
1.6. The Baire Category Theorem

Chapter 2. Topological Spaces
2.1. Definitions and Examples
2.2. Base and Subbase for a Topology
2.3. Continuous Functions
2.4. Compactness and Connectedness
2.5. Pathwise Connectedness
2.6. Infinite Products
2.7. Nets
2.8. Quotient Spaces

Chapter 3. Continuous Real-Valued Functions
3.1. Convergence of Functions
3.2. Separation Properties
3.3. Normal Spaces
3.4. The Stone-Čech Compactification
3.5. Locally Compact Spaces
3.6. Ordinal Numbers*
3.7. Paracompactness

Appendix
A.1. Sets
A.2. Functions
A.3. The Real Numbers
A.4. Zorn’s Lemma
A.5. Countable Sets

References
Terms
Symbols

## A Course in Point Set Topology Book pdf free download

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