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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2008 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
(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
Download citation
DOI: https://doi.org/10.1007/978-0-387-74614-2_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-74611-1
Online ISBN: 978-0-387-74614-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)