A Riemann-Roch Theorem for Compact Spaces
A topological version of a fundamental theorem of algebraic geometry
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Following the work of Grothendieck which shows that we have a Riemann-Roch theorem for certain morphisms of algebraic varieties and of Hirzebruch and Atiyah for certain morphisms of differentiable varieties, we will show that we have a Riemann-Roch theorem for continuous applications between compact spaces satisfying certain conditions, within the framework of the topological K-theory of compact spaces.
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