More comprehensive General Topology's book than Engelking

2.2k Views Asked by At

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?

4

There are 4 best solutions below

0
On

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.

1
On

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

1
On

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

2
On

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).