Remark
Dependence on the Base Point
Fundamental Group
For a path $a : x \to y$, define
\[
\gamma[a] : \pi_1(X,x) \to \pi_1(X,y)
\]
by
\[
\gamma[a][f] = [a \cdot f \cdot a^{-1}]
\]
This is a homomorphism of groups.
Depends on
Used in
Dependency Graph
flowchart LR
classDef current fill:#6366f1,color:#fff,stroke:#4f46e5
n9be75791["Fundamental Group"]
na8b6b7cd["Dependence on the Base Point"]:::current
ndd7ffa18["Problem"]
n9be75791 --> na8b6b7cd
na8b6b7cd --> ndd7ffa18
click n9be75791 "../objects/9be75791.html" "_self"
click ndd7ffa18 "../objects/dd7ffa18.html" "_self"