May 16th, 2013, 03:05 PM #2 Senior Member   Joined: Aug 2012 Posts: 2,343 Thanks: 732 Re: Where to start with topology? It's helpful that you know some group theory. At the elementary level there are essentially two aspects of topology: general topology, where you study the spaces you get when you abstract the notion of an open set; and algebraic topology, where you apply abstract algebra to the study of various types of spaces. Most people start with general topology. But if you just want to get going and don't mind jumping in a little over your head, you might look at algebraic topology. Perhaps look at some Wikipedia pages on the subject. I think if you start here ... http://en.wikipedia.org/wiki/Algebraic_topology ... and click on the linked articles, you'll get the flavor of the subject. Perhaps some of the references will be what you're looking for.
 May 25th, 2013, 05:19 PM #3 Newbie   Joined: Aug 2010 Posts: 6 Thanks: 0 Re: Where to start with topology? "Introduction to Topology" by Gameline and Greene should be a good start for you. Not only is meant to for beginners as obviously stated by the title, but also has entire solutions for each exercises at the end of sections, something of a rarity among math reference and textbooks. If there's a downside, then it's that the book is relatively dry compared to the colorful math textbooks that you're probably used to from high school. Expect to draw graphics and examples by yourself. This is something to applies to almost every math reference you encounter beyond Calculus/Linear Algebra.
 June 18th, 2013, 09:49 PM #4 Newbie   Joined: Jun 2013 Posts: 7 Thanks: 1 Re: Where to start with topology? Where as I have checked out the reviews about the books about topology I would commander you Topology (2nd Edition) by James Munkres. It is actually an in depth coverage of both general topology and algebraic topology, includes example and figures.

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