Holmstrom Axioms in algebraic topology

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In algebraic topology, we “know” exactly what a cohomology theory is: it is a sequence of functors satisfying the Generalized Eilenberg-Steenrod axioms. This should be compared to the situation in algebraic geometry, where it is quite unclear what a cohomology theory really is.

nLab page on Axioms in algebraic topology

Created on June 9, 2014 at 21:16:13 by Andreas Holmström