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Homotopy theory, homological algebra, algebraic treatments of manifolds.

3 votes
Accepted

Sheaves and gratings

I think you may have misunderstood what Cartan was doing. In modern language he defined functors $\Gamma$ from sheaves to gratings and $\mathcal{F}$ from gratings to sheaves but he did not claim that …
Simon Wadsley's user avatar
2 votes

Comparing lower central series and augmentation ideal completions

I don't quite follow your definition of the mod $p$ lower central series as $s$ only seems to appear once in the definition. However whatever it is the answer is no. If $G=\mathbb{Z}$ then the $I$-ad …
Simon Wadsley's user avatar
2 votes

A ring such that all projectives are stably free but not all projectives are free?

Example 1.2.2 in Chapter 1 of Weibel's book in progress on K-theory http://www.math.rutgers.edu/~weibel/Kbook.html says that $R_2$ in the notation of your question has a stably free module that is not …
Simon Wadsley's user avatar