Can anybody recommend me a topology textbook? 
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!
 A: 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.
A: 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.
A: Crossley's Essential Topology gives a slightly more elementary introduction than Munkres, and driven more by examples than by theory.  I found it useful when I got stuck with Munkres.
http://www.amazon.com/Essential-Topology-Springer-Undergraduate-Mathematics/dp/1852337826
A: I know a lot of people like Munkres, but I've never been one of them. When I read sections on Munkres about things I've known for years, the explanations still seem turgid and overcomplicated.
I like John Kelley's book General Topology a lot. I find the writing stunningly clear. It has been in print for sixty years. You should at least take a look at it.
A: Munkres  Topology is a magnificent book.   It is well written and covers the basics of point set and elementary geometric topology extremely well.  I agree with William.
