I moved all the primes to before the subscripts, for them to render at the expected spot
]]>Added two main theorems for classification concerning when lens spaces are homeomorphic and homotopy equivalent.
]]>Okay. I have added the “in some sense” only to make clear that at this point it’s an informal statement. But if it can be made precise further down in the entry, all the better.
]]>Thanks for the correction! Regarding
are in some sense the simplest
there is at least one precise sense in which this is true, namely Lens spaces are the only 3-manifolds one can obtain by integral Dehn surgery on the unknot except for and . In a hurry now, so no time to find a reference, but it might be nice to add this to the entry; it should be in any textbook on geometric topology.
]]>I have added the actual definition to the entry and have organized the previous material into subsections of a “Properties” section.
The paragraph on Dehn surgery seemed to have been lacking the qualifier “coprime”, so I added it.
]]>added pointer on 3d-3d correspondence for lens spaces:
added this pointer:
In particular, added a construction (with picture in tikz, for my sins!) of lens spaces via integral surgery, which, though completely standard, is not that easy to find in the literature if one does not know where to look.
]]>Added some content to the idea section.
]]>Link to Manifold Atlas.
]]>needed to record a reference. Now somebody needs to put some content into this entry… :-)
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