Find the fundamental homotopy group of a torus with one point removed, $T^{2} backslash{$ a point $}$.
Question:
Find the fundamental homotopy group of a torus with one point removed, $T^{2} \backslash\{$ a point $\}$. Hint: It may be useful to think of a torus as a rectangle with opposite sides identified.
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Related Book For 
Mathematical Methods For Physics An Introduction To Group Theory Topology And Geometry
ISBN: 9781107191136
1st Edition
Authors: Esko Keski Vakkuri, Claus Montonen, Marco Panero
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