More comprehensive General Topology's book than Engelking

Question

Other than Engelking General Topology, I also come across other graduate general topology text such as Dugundji and Kelley, which I also find them interesting.

However, I find Engelking's book more comprehensive compare to the two graduate texts.

Question: Does there exist a general topology book which is more comprehensive than Engelking? If yes, what is the title?

Some of the books listed as answers to this question might be of interest: Reference for general-topology. (As you can see, there is already an overlap between the suggestions given in the answers.) — Martin Sleziak, Aug 18 '17 at 06:06

Henno Brandsma · Answer 1 · 2017-08-19T09:30:31.277

5

I'm a fan of "Handbook of Set-theoretic Topology", which I often use, and Engelking as well. It contains many things that are more recent than Engelking and is more research oriented.

Nagata's "Modern General Topology" is also nice. Also in the Japanese school "Topics in General Topology", by Morita and Nagata. The latter book is more like the Handbook. The first more of a text book, like Kelley or Dugundji (which are good as well).

edited Aug 19 '17 at 09:30

answered Aug 15 '17 at 11:27

Henno Brandsma

242,131

Just a small question about Engelking: are there significant differences between the first (1977) and the second edition (1989)? Moreover, is the 1968 book "Outline of General Topology" just the first translated version of the same topics or is it a different book? Thanks! – Son Gohan Apr 09 '21 at 09:35
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@SonGohan I'm not sure. I only have the 1989 translation. I cannot judge the difference from the original Polish one. In the foreword he does mention that the '88 edition is much updated (better proofs, more uptodate with research, errors removed etc. more exercises) – Henno Brandsma Apr 09 '21 at 09:37

score 4 · Answer 2 · answered Aug 11 '17 at 01:44

4

As far as I know, no. There are big general topology books “Topology” by Kuratowski (available at LibGen) and “Handbook of set-theoretic topology” (eds. Kunen and Vaughan) (also available in the Internet), but they consider selected topics.

answered Aug 11 '17 at 01:44

Alex Ravsky

90,434

score 3 · Answer 3 · answered Aug 11 '17 at 02:17

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I like General Topology by Willard for reference of difficult theorems.
It is point set topology orientated instead of analysis orientated.

answered Aug 11 '17 at 02:17

William Elliot

17,598

2

Are you suggesting that Willard's text is more comprehensive than Engelking's? – user642796 Aug 11 '17 at 05:34

score 2 · Answer 4 · answered Aug 15 '17 at 01:52

2

When looking for a result, Engelking is my first choice. But, as my recent experience shows, one should also not miss Bourbaki.

answered Aug 15 '17 at 01:52

Peter Elias

1,787

Yes, I agree with you that Bourbaki is indeed very comprehensive. However, Its volume 4 (chapter 5-9) is not available as ebook at springer anymore. – Idonknow Aug 15 '17 at 02:06

More comprehensive General Topology's book than Engelking

4 Answers4