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Theorem 7.2 (Reparametrization theorem):
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Proof:
Notation:
The equivalence class of
will be denoted by
and called the homotopy class of the path
When
are homotopic we write
nisha 2012-03-20
will be denoted by ![$ [\gamma]$](img28.png){kind=small}
and called the
homotopy class of the path 
When
are homotopic
we write
