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Homotopy theory, homological algebra, algebraic treatments of manifolds.

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Computation of stable cohomology ring of SL_n(Z) using algebraic topology

It is known that $H^k(SL(n,\mathbb{Z}))$ is independent of $n$ for $n \gg k$, so we can define a stable cohomology ring $$V = \text{lim}_{n \rightarrow \infty} H^{\ast}(SL(n,\mathbb{Z});\mathbb{R}).$ …
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