UoR Topology 2011 Wiki

Welcome to the official wiki lecture notes for the 2011 Introduction to Topology Course at the University of Reddit. Students should be members of the /r/topology2011 subreddit for class announcements and to find out where in the notes we're studying.

Syllabus
The syllabus for this course may be found at /r/topology2011, specifically at this post: http://www.reddit.com/r/topology2011/comments/fu10q/uor_intro_to_topology_spring_2011_syllabus/

Topics

 * Chapter 1: Metric Spaces


 * Chapter 2: Topological Spaces


 * Chapter 3: Bases


 * Chapter 4: Product Spaces


 * Chapter 5: Separation Axioms


 * Chapter 6: Connectedness


 * Chapter 7: Compactness

Links to the sections will become available on a rolling basis as the class progresses.

Contributing
Anyone is welcome to contribute, but we ask that you follow these guidelines:


 * Post your solutions in the 'solutions' section on the page associated to each exercise or proposition (see below for information about using LaTeX). You're encouraged to begin your solution with your name as a Heading 3 and then sign your solution (using four tildes or the signature button) at the end. We recommend that you formulate your proof before looking at the solutions page.


 * If you spot a (non-trivial) error in the notes, please contact a moderator so that we can ensure corrections are applied consistently throughout the site.

Resources

 * To add a mathematical formula, switch the WYSIWYG editor to source mode and enclose your formula between &lt;math&gt; &lt;/math&gt; tags. Formulas should be in LaTeX format. There many helpful LaTeX tutorials and references around the internet, but here are a few:
 * Quick formula reference
 * More in-depth tutorial
 * Here's a list of the notation we use. Please try to keep your proofs consistent with this notation. If you have some notation that you believe is important to add to the list, please contact a Moderator to add it.
 * Also, if you need it, here's a Sandbox you can use to test things out.

Latest activity
See the latest activity feed for recent additions and changes.