Let be a finite complex, let be a continuous map. If , then has a fixed point.
Lefschetz Fixed Point Theorem
See also
Lefschetz Theorem, Lefschetz Trace FormulaExplore with Wolfram|Alpha
References
Munkres, J. R. "Application: The Lefschetz Fixed-Point Theorem." §22 in Elements of Algebraic Topology. New York: Perseus Books Pub.,pp. 121-128, 1993.Cite this as:
Weisstein, Eric W. "Lefschetz Fixed Point Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LefschetzFixedPointTheorem.html