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Does anyone know of a good topology textbook, that has a solutions manual for at least some of the problems? Older is fine; I just need to be able to check my own work.

I've researched best topology books/free topology books, but most do not have any solutions to problems provided.

Thanks for your help; hope I'm posting in right forum.

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    $\begingroup$ I think Bert Mendelson's intro to topology is a rudimentary but very easy read. It doesn't have the solutions, but the questions are easy enough to work out with no prior knowledge (other than perhaps some nonaxiomatic set theory). $\endgroup$
    – parsiad
    Commented Dec 30, 2015 at 18:53
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    $\begingroup$ Did you have look at other posts tagged general-topology+book-recommendation? For example, this one seems rather similar: Topology Exercises Books, $\endgroup$ Commented Dec 31, 2015 at 13:19
  • $\begingroup$ There are many topology books with different approaches and focuses. Many of the older books (that are cheaper) focus on topics that you may not need. You can get better answers by explaining what you want to get out of your topology course. $\endgroup$ Commented Dec 31, 2015 at 13:29
  • $\begingroup$ Judging from my students turned-in work, virtually all of the problems from Munkres's "Topology" have solutions on-line in various fora. $\endgroup$ Commented Jan 1, 2016 at 5:42
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    $\begingroup$ @parsiad I love Mendelson's book. It's so short it's more like a pamphlet than a book, but it's quality over quantity. The dearth of problems and lack of solutions is a bummer, but still great overall. $\endgroup$
    – Hank Igoe
    Commented Jan 6, 2021 at 11:02

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Munkres' topology book is quite standard. Although I don't think he has an official solutions manual, many solutions exist online.

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During my student years I used and liked General Topology by Stephen Willard. It has a solution manual by Jianfei Shen.

Also interesting: General Topology by John L. Kelley.

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you can read munkres it's a good book ,there are solutions online on http://dbfin.com/topology/munkres

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Elementary Topology Problem Textbook

O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov

Great book, with many easy problems, and with basically everything solved at the end of each chapter.

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Take this alternative choice Topology Without Tears

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  • $\begingroup$ does this book has solutions. $\endgroup$
    – EM4
    Commented Sep 23, 2020 at 22:28
  • $\begingroup$ @EM4, a little seek in the web gives that there are links to that kind of works $\endgroup$
    – janmarqz
    Commented Sep 24, 2020 at 2:19
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Introduction to Topology: Pure and Applied is a really neat book. The author explains concepts clearly and includes easy to follow proofs and theorems. Also, as the title suggests, there are some sections on the applications of Topology, including some cool stuff like Cosmology, Knots, Dynamical Systems and Chaos. You normally don't see that in the standard Topology textbook.

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  • $\begingroup$ Nice nice, yeah, but it doesn't have a solution manual as the OP requested. $\endgroup$ Commented Oct 26, 2021 at 8:20
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"Introduction to Topology" of Gamelin. Highly readable. It contains solutions of some selected problems at the end.

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    $\begingroup$ This is the same book which was already suggested in another answer, right? $\endgroup$ Commented Dec 31, 2015 at 18:20
  • $\begingroup$ Yes, but at the time I posted my answerr, I didn't aware of it. $\endgroup$
    – SiXUlm
    Commented Dec 31, 2015 at 19:06
  • $\begingroup$ Are there any solutions for exercises online except the solutions the book itself? I find some of the "solutions" that Gamelin has are non-trivial. $\endgroup$
    – Ninja
    Commented May 12, 2017 at 19:55
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The best textbook in my opinion is Munkres' book. It's a balance between rigour and simplicity. You can find the solutions to the exercises everywere on internet.

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My course used Introduction to Topology by Gamelin and Greene; http://www.amazon.com/Introduction-Topology-Second-Edition-Mathematics/dp/0486406806. It's a little bit harder then Munkres but doesn't beat around the bush! You need to know some non-trivial set theory tho before starting. It has some solutions/hints and cost almost nothing.

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    $\begingroup$ Are there any solutions for exercises online except the solutions the book itself? I find some of the "solutions" that Gamelin has are non-trivial. $\endgroup$
    – Ninja
    Commented May 12, 2017 at 19:55
  • $\begingroup$ @Ninja not as far as I know. $\endgroup$
    – user123124
    Commented May 12, 2017 at 20:04
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"Counterexamples in Topology" by Lynn Arthur Steen and J.A. Seebach

"According to the authors of this highly useful compendium, focusing on examples is an extremely effective method of involving undergraduate mathematics students in actual research. It is only as a result of pursuing the details of each example that students experience a significant increment in topological understanding. With that in mind, Professors Steen and Seebach have assembled 143 examples in this book, providing innumerable concrete illustrations of definitions, theorems, and general methods of proof. Far from presenting all relevant examples, however, the book instead provides a fruitful context in which to ask new questions and seek new answers.

Ranging from the familiar to the obscure, the examples are preceded by a succinct exposition of general topology and basic terminology and theory. Each example is treated as a whole, with a highly geometric exposition that helps readers comprehend the material."

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Four other than Munkres (who benefits from fair-sized readership) come to mind (as a fellow self-student who appreciates solutions after over-extended attempts).

Two introductory:

  1. Introduction to Topology (Tej Bahadur Singh)

  2. Elementary topology, problem textbook (Viro, Ivanov, Netsvetaev, Kharlamov)

    • I see now a post linked in a comment to the question includes this one too

Two advanced (perhaps graduate level):

  1. An Illustrated Introduction to Topology and Homotopy (Kalajdzievski, Krepski, Kalajdzievski)

    • There is a Solutions Manual for Part 1 on Topology
  2. Topology: A Geometric Approach (Terry Lawson)

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