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Homotopy theory, homological algebra, algebraic treatments of manifolds.
3
votes
Involutions of $S^2$
Yes, your three examples are the only three up to conjugation by a homeomorphism. In the orientation-preserving case, this is a theorem of Kerekjarto (Sur les groupes compacts de transformations topo …
5
votes
1
answer
599
views
Delooping a fibration sequence with loopspace fiber and finite CW complexes
The following question is somewhat similar to a previous one on MathOverflow, except that my application does not directly involve Eilenberg-MacLane spaces $K(G,n)$, and so I don't see the immediate n …
3
votes
1
answer
410
views
Baumslag-Solitar subgroups of Poincare duality groups
Can a Poincaré duality group $G$ contain Baumslag--Solitar subgroups $H$ such as BS(1,3) or BS(2,3)?
I don't mean to include those subgroups which are the fundamental group of the torus or Klein bott …
4
votes
Dimensions of orbit spaces
The following statement is not quite the inequality that you want, but it is for more general spaces than orbifolds. (Note that so-called "good" orbifolds are the quotients of locally linear actions o …