The textbook for the course is Topology, second edition, by James R. Munkres. The bookstore has a paperback version, published in 2018 and called "classic" by the publisher. The content is the same as the hardback version published in 2000. There may be other versions; as long as they say "second edition" they are probably the same. (See also remark about page numbers at the end below.)
This is arguably the best book available for studying the topics of Math 441 at the undergraduate level. After the course is over, this will be an excellent reference book to keep on your shelf, particularly if you go to graduate school in pure mathematics. It is used at many other schools for both undergraduate and beginning graduate courses. (So if you decide later it is no longer useful to you, there should be a reasonable resale market.)
Unfortunately we will have time to use only a fraction of the book. Chapter 1, §§1-7 should be review. We will study chapters 2, 3, and 4, and possibly selected additional topics as time permits.
A word about page numbers. Some printings of the book may have different page numbering; for example, possibly the "international edition." Page numbers listed in assignments will assume Chapter 1 starts on p. 3. So, for instance, if your Chapter 1 starts on p. 1, subtract 2 from the listed page number. If this doesn't seem to be giving you the right page numbers, let me know.
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Most recently updated on September 24, 2019.