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Results tagged with fundamental-group
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user 9417
12
votes
Homology of Covering Spaces
This is not a trivial problem. A favorite example of mine is the case of a knot complement, $S^3\setminus K$. (It is known that these are Eilenberg-Maclane spaces.) If you pick $A$ to be the commutato …
- 4,898
5
votes
Fundamental groups of surfaces
The word problem for the fundamental group of a closed surface is solvable, using Dehn's algorithm. Since any finitely presented group appears as the fundamental group of some closed $4$-manifold, and …
- 4,898