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Homotopy theory, homological algebra, algebraic treatments of manifolds.
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Vector bundles, finitely generated projective module?
Let $B$ be a Tychonoff space and let $\mathbb{R}(B)$ denote the ring of continuous real valued functions on $B$. For any vector bundle $\xi$ over $B$, let $S(\xi)$ denote the $\mathbb{R}(B)$-module co …