Define homotopic, homotopy, Path homotopy.... | Filo
Define homotopic, homotopy, Path homotopy.... | Filo
2 months ago
askfilo.com
Show that a homotopy equivalence f: X →Y induces a bijection between the set of path-components of X and the set of path-components of Y, and that f restricts to a homotopy equivalence from each path-component of X to the corresponding pathcomponent of Y. Prove also the corresponding statement with components instead of path-components. Deduce from this that if the components and path-components of a space coincide, then the same is true for any homotopy equivalent space. | Numerade
Show that a homotopy equivalence f: X →Y induces a bijection betwe…
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