Miller Spaces and Spherical Resolvability of Finite Complexes

Jeffrey Strom

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Miller Spaces and Spherical Resolvability of Finite Complexes

Jeffrey Strom

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Abstract

We show that if $K$ is a nilpotent finite complex, then $ΩK$ can be built from spheres using fibrations and homotopy (inverse) limits. This is applied to show that if ${\mathrm {map}}_*(X,S^n)$ is weakly contractible for all $n$, then ${\mathrm {map}}_*(X,K)$ is weakly contractible for any nilpotent finite complex $K$.

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BibTeX RIS

Jeffrey Strom. 2001-11-13. Miller Spaces and Spherical Resolvability of Finite Complexes. https://arxiv.org/abs/math/0111151

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