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Homotopy Axiom

One of the Eilenberg-Steenrod axioms which states that, if f:(X,A)->(Y,B) is homotopic to g:(X,A)->(Y,B), then their induced maps f_*:H_n(X,A)->H_n(Y,B) and g_*:H_n(X,A)->H_n(Y,B) are the same.

See also

Homotopic, Homotopy, Homotopy Theory

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Cite this as:

Weisstein, Eric W. "Homotopy Axiom." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HomotopyAxiom.html

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