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Hopf Trace Theorem

Let K be a finite complex, and let phi:C_p(K)->C_p(K) be a chain map, then

sum_(p)(-1)^pTr(phi,C_p(K))=sum_(p)(-1)^pTr(phi_*,H_p(K)/T_p(K)).

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References

Munkres, J. R. Elements of Algebraic Topology. New York: Perseus Books Pub.,p. 122, 1993.

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Hopf Trace Theorem

Cite this as:

Weisstein, Eric W. "Hopf Trace Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HopfTraceTheorem.html

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