Viewing topic: Homotopy

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  • Definition: If f and g are continuous maps of the space X into the space Y, we say that f is homotopic to g if there is a continuous map F: XxI -> such that F(x, 0) = f(x) and F(x, 1) = g(x) for each x. (Here I=[0, 1].) The map F is called a homotopy between f and g.

    Source: Topology (second edition) by James R. Munkres

  • Listed under: Algebraic Topology, Mathematical Analysis

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