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Results tagged with fundamental-group
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user 39304
10
votes
Accepted
Can we define fundamental groups functorially for non-pointed path connected topological spa...
For any such lift $\widetilde{FG}:\mathrm{pTop}\to \mathrm{Gp}$ the induced map $pTop(X,Y)\to Gp(\widetilde{FG}(X),\widetilde{FG}(Y))$ must factor through the set of homotopy classes of the maps betwe …
- 7,377
12
votes
Accepted
Are "large enough" finite etale covers arithmetic?
Let's assume that $X$ admits a $K$-point $x$ and use the corresponding geometric point as the base point. The existence of a rational point is in fact necessary for a positive answer, as explained by …
- 7,377