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arxiv: math/0607201 · v1 · submitted 2006-07-07 · 🧮 math.AT · math.AC

On the cohomology of highly connected covers of finite complexes

classification 🧮 math.AT math.AC
keywords algebracohomologyfinitealgebrasalwaysandre-quillencomplexescomputation
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Relying on the computation of the Andre-Quillen homology groups for unstable Hopf algebras, we prove that the mod p cohomology of the n-connected cover of a finite H-space is always finitely generated as algebra over the Steenrod algebra.

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