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Archived: 07 Aug 2014, 09:48
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timray60
Joined: 12 Nov 2008, 02:55 Posts: 12 Location: Japan
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 Exercise 12.02
The region R as described in exercise 12.17 is such that any point on a sphere is identified with its antipodal point so that a loop on the sphere cannot be deformed to a singlular point (which I assume brings about the proof of 12.02). I am not clear on why a point is being identified with its antipodal point and the off the wall possibility that this proof may have something to do with a Steradian measure of a sphere is 4*pi? If anyone can clear this up it is sincerely appreciated. Thanks Tim
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31 Dec 2008, 03:22 |
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