One of the Eilenberg-Steenrod axioms which states that, if is homotopic to , then their induced maps and are the same.

# Homotopy Axiom

## See also

Homotopic, Homotopy, Homotopy Theory## Explore with Wolfram|Alpha

## Cite this as:

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