Large and Small Group Homology
نویسنده
چکیده
For several instances of metric largeness like enlargeability or having hyperspherical universal covers, we construct non-large sub-vectorspaces in the rational homology of finitely generated groups. The functorial properties of this construction imply that the corresponding largeness properties of closed manifolds depend only on the image of their fundamental classes under the classifying map. This is applied to construct, amongst others, examples of essential manifolds whose universal covers are not hyperspherical, thus answering a question of Gromov (1986).
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