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- W2951072782 abstract "Using the theory of resolving classes, we show that if $X$ is a CW complex of finite type such that $map_*(X, S^{2n+1})sim *$ for all sufficiently large $n$, then $map_*(X, K) sim *$ for every simply-connected finite-dimensional CW complex $K$; and under mild hypotheses on $pi_1(X)$, the same conclusion holds for textit{all} finite-dimensional complexes $K$. Since it is comparatively easy to prove the former condition for $X = BZZ/p$ (we give a proof in an appendix), this result can be applied to give a new, more elementary proof of the Sullivan conjecture." @default.
- W2951072782 created "2019-06-27" @default.
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- W2951072782 date "2012-05-03" @default.
- W2951072782 modified "2023-09-27" @default.
- W2951072782 title "Finite-dimensional spaces in resolving classes" @default.
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