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Whitehead's Theorem


Maps between CW-complexes that induce isomorphisms on all homotopy groups are actually homotopy equivalences.


See also

CW-Complex, Homotopy Group, Isomorphism

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Cite this as:

Weisstein, Eric W. "Whitehead's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/WhiteheadsTheorem.html

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