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Lefschetz Fixed Point Theorem

Let K be a finite complex, let h:|K|->|K| be a continuous map. If Lambda(h)!=0, then h has a fixed point.

See also

Lefschetz Theorem, Lefschetz Trace Formula

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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

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