Talk:Lens space

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[edit] Amazing

I'm amazed. Although this article contains many words and quite a lot of math, it does not seem to say anything at all. How is anyone to understand what a lens space is from this article? ‣ᓛᖁᑐ 20:15, 3 May 2005 (UTC)

[edit] article needs correct condition for isomorphism of L(p,q)'s

I removed what I believe is the false statment that L(p,q) is diffeomorphic to L(p',q') iff p=p' and q=q'. I believe the correct condition is that p=p' and either q=q' or q=1/q' (where the arithmetic and equalities are mod p). Actually, q = -q' also yields the same lens space if one deals with unoriented 3-folds, as presumably is the default assumption.

If someone can confirm this information, they should add it to the main article.

- Rafael Sorkin

You're absolutely correct! What's funny is that the intro paragraph makes clear a very old counterexample by Alexander. Anyway, the misinformation seems to have been added after I had stopped watching the article. But I will add the correct statement now. --C S (Talk) 13:42, 21 February 2006 (UTC)

[edit] More Definitions

I added some more definitions that I have come across (and in fact can be located in "A Short Survey of Lens Spaces" by Watkins)LkNsngth (talk) 02:04, 8 April 2008 (UTC)

Bravo, great work, 64.48.78.41 05:08, 27 July 2007 (UTC)Steve Pax