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Topological Finiteness Properties and Dimension of Groups

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Part of the book series: Graduate Texts in Mathematics ((GTM,volume 243))

This chapter is about topological models for a group G: these are the socalled K(G, 1)-complexes with fundamental group G and contractible universal cover. We then proceed to use the method of Sect.6.1 to replace an arbitrary K(G, 1)-complex by one with fewer cells or lower dimension.

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© 2008 Springer Science+Business Media, LLC

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(2008). Topological Finiteness Properties and Dimension of Groups. In: Topological Methods in Group Theory. Graduate Texts in Mathematics, vol 243. Springer, New York, NY. https://doi.org/10.1007/978-0-387-74614-2_7

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