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Asymptotic dimension
- Source :
-
Topology & Its Applications . Jun2008, Vol. 155 Issue 12, p1265-1296. 32p. - Publication Year :
- 2008
-
Abstract
- Abstract: The asymptotic dimension theory was founded by Gromov [M. Gromov, Asymptotic invariants of infinite groups, in: Geometric Group Theory, vol. 2, Sussex, 1991, in: London Math. Soc. Lecture Note Ser., vol. 182, Cambridge Univ. Press, Cambridge, 1993, pp. 1–295] in the early 90s. In this paper we give a survey of its recent history where we emphasize two of its features: an analogy with the dimension theory of compact metric spaces and applications to the theory of discrete groups. [Copyright &y& Elsevier]
- Subjects :
- *INFINITE groups
*DIMENSION theory (Algebra)
*DISCRETE groups
*METRIC spaces
Subjects
Details
- Language :
- English
- ISSN :
- 01668641
- Volume :
- 155
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Topology & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 32166355
- Full Text :
- https://doi.org/10.1016/j.topol.2008.02.011