< C^2 < Punktiert < Umdrehung < Nullhomotopie
Zeige explizit, dass der
stetige Weg
[
0
,
2
π
]
⟶
C
2
∖
{
(
0
,
0
)
}
,
s
⟼
(
e
i
s
,
1
)
,
{\displaystyle [0,2\pi ]\longrightarrow \mathbb {C} ^{2}\setminus \{(0,0)\},\,s\longmapsto \left(e^{{\mathrm {i} }s},\,1\right),}
nullhomotop
ist.
Eine Lösung erstellen
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![{\displaystyle [0,2\pi ]\longrightarrow \mathbb {C} ^{2}\setminus \{(0,0)\},\,s\longmapsto \left(e^{{\mathrm {i} }s},\,1\right),}](../../../../../I/c7c2392f362f530fe6944ea1cd91a1c8a2ff3e94.svg)