TITLE: Can anybody recommend me a topology textbook?
QUESTION [13 upvotes]: Possible Duplicate:
choosing a topology text
Introductory book on Topology 

I'm a graduate student in Math. But I never learnt Topology during my undergraduate study. Next semester, I am going to take Differential Geometry. I assume this course would require a background of Topology. So I would like to take advantage of this summer and learn some topology myself. 
I don't need to become an expert in Topology. All I need is that after this summer, my topology knowledge will be enough for my Differential Geometry course. 
So can somebody please recommend me a textbook? I'd be really grateful!

REPLY [8 votes]: Seebach and Steen's book Counterexamples in Topology is not a book you should try to learn topology from. But as a supplemental book, it is a lot of fun, and very useful. Munkres says in introduction of his book that he does not want to get bogged down in a lot of weird counterexamples, and indeed you don't want to get  bogged down in them. But a lot of topology is about weird counterexamples. (What is the difference between connected and path-connected?  What is the difference between compact, paracompact, and pseudocompact?) Browsing through Counterexamples in Topology will be enlightening, especially if you are using Munkres, who tries hard to avoid weird counterexamples.

REPLY [6 votes]: I entered my graduate general topology course with no previous background in the field (save what I knew about the real line). Despite this, I had great success with Stephen Willard's General Topology.