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Lefschetz Number

If K is a finite complex and h:|K|->|K| is a continuous map, then

Lambda(h)=sum(-1)^pTr(h_*,H_p(K)/T_p(K))

is the Lefschetz number of the map h.

See also

Euler Number

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References

Hatcher, A. Algebraic Topology. Cambridge, England: Cambridge University Press, 2002.Munkres, J. R. Elements of Algebraic Topology. New York: Perseus Books Pub.,p. 125, 1993.

Referenced on Wolfram|Alpha

Lefschetz Number

Cite this as:

Weisstein, Eric W. "Lefschetz Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LefschetzNumber.html

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