A Course in Point Set Topology Undergraduate Texts in Mathematics

John B. Conway

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2h 22m

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A Course in Point Set Topology Undergraduate Texts in Mathematics

by John B. Conway

2013

Springer International Publishing AG

142

9783319023670

Description

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.

Frequently Asked Questions

How many pages are in A Course in Point Set Topology Undergraduate Texts in Mathematics?

This edition of A Course in Point Set Topology Undergraduate Texts in Mathematics has approximately 142 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.

How long does it take to read A Course in Point Set Topology Undergraduate Texts in Mathematics?

For most readers, A Course in Point Set Topology Undergraduate Texts in Mathematics typically takes between 2h 58m and 1h 58m to complete. This is based on the book's length of approximately 35,500 words and common reading speeds.

Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 2h 22m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 5 days • Estimated word count: 35,500 words

Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.

What is the word count of A Course in Point Set Topology Undergraduate Texts in Mathematics?

The estimated word count for A Course in Point Set Topology Undergraduate Texts in Mathematics is approximately 35,500 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.

This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.

Who is the author of A Course in Point Set Topology Undergraduate Texts in Mathematics?

A Course in Point Set Topology Undergraduate Texts in Mathematics was written by John B. Conway.

When was A Course in Point Set Topology Undergraduate Texts in Mathematics published?

The publication date for this specific edition is 2013. The original work may have been published on a different date.