homotopy class

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Figure 2: Homotopy classes

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homotopy class

mathematics

Learn about this topic in these articles:

homotopy theory

In homotopy
…geometric region is called a homotopy class. The set of all such classes can be given an algebraic structure called a group, the fundamental group of the region, whose structure varies according to the type of region. In a region with no holes, all closed paths are homotopic and the…
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