Question: Consider the maps [0, 1] R given as g(t) = (cos 4t, sin 4t). f(t) = (cos 2t, sin 2t), Describe the maps f

Consider the maps [0, 1] R given as g(t) = (cos 4t,

Consider the maps [0, 1] R given as g(t) = (cos 4t, sin 4t). f(t) = (cos 2t, sin 2t), Describe the maps f and g geometrically. (b) Illustrate a homotopy between f and g. (c) Viwed as a family of maps, describe the maps appearing in the homotopy you constructed in item (b).

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Solution a b Consider He map 0 1 fg IR t Cose11t Sinent 217 O g t os 411t sin 41t ft cogz... View full answer

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