Indecomposable quotient of an augmented algebra

ID: indecomposable-quotient-of-an-augmented-algebra

For an augmented graded algebra , its positive augmentation ideal has indecomposable quotient . For a Sullivan minimal model , this quotient is with zero differential because every is decomposable. The map induced by projection is dual to the rational Hurewicz homomorphism under the finite-type model identification.

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