Possible homology of closed manifolds.
In this fun paper,
it is pointed out that
- homology is a very basic invariant, and
- closed manifolds are very basic objects
and so a very basic question is: what sequences of abelian groups are the homology groups of a closed simply connected manifold?
It isn’t very hard to realize any sequence of abelian groups up to the middle dimension, but that middle dimension is tricky (e.g., classify 
-connected 
-manifolds).
Anyway, I was wondering: is this realization question solvable for homology with coefficients in 
or 
?
Posted: March 8th, 2008 under Questions, Mathematics.
Comments: 1
Comments
Comment from chris tolles
Time: April 5, 2008, 9:04 am
don’t mean to go off topic, but is there any chance you’ll update forgetmenot for leopard or safari 3.1?
you’ve got a devoted following… i need my undo close tab back!
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