Complete intersections and rational homotopy theory

Mathematics – Algebraic Topology

Scientific paper

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Version 2 corrects an error in Version 1. We give an example (13.4) showing that the zci condition is strictly stronger than t

Scientific paper

We investigate various homotopy invariant formulations of commutative algebra
in the context of rational homotopy theory. The main subject is the complete
intersection condition, where we show that a growth condition implies a
structure theorem and that modules have multiply periodic resolutions.

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