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June 11th, 2012, 09:16 AM  #1 
Newbie Joined: Oct 2011 Posts: 29 Thanks: 0  What does this symbol mean?
Hello I've seen the notation S^1 V S^1 in the context of topology, but I don't know what it means. I know what S^1 is, just not what the symbol V means in this context. Thanks in advance. 
June 14th, 2012, 05:27 AM  #2 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: What does this symbol mean?
That is the "wedge sum" (sometimes "wedge product") http://en.wikipedia.org/wiki/Wedge_sum It essentially combines the two topological spaces by equating a specific point in one space with a specific point in another. Since S^1 is the circle, S^1V S^1 is topologically equivalent to a "figure 8", two circles with a common point. 

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