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Homotopy theory, homological algebra, algebraic treatments of manifolds.

7 votes

The homology of the universal covering space, why so difficult to compute

Perhaps an example could illuminate. Let $k \in H^4(K(\mathbb{Q},2);\mathbb{Q}) \cong \mathbb{Q}$. Let also $a,b \in \mathbb{Q}^\times$ satisfy $k (a^2 - b) = 0$, and let $G := \mathbb{Z}$ act on th …
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