TOPOLOGICAL PROPERTIES OF ASYMPTOTIC CONES

Gromov asked whether an asymptotic cone of a finitely generated group was always simply connected or had uncountable fundamental group. We prove that Gromov's dichotomy holds for asymptotic cones with cut points as well as HNN extensions and amalgamated products where the associated subgroups a...

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Bibliographic Details
Main Author: Kent, Curtis Andrew
Other Authors: Mark Sapir
Format: Others
Language:en
Published: VANDERBILT 2013
Subjects:
Online Access:http://etd.library.vanderbilt.edu/available/etd-03202013-104718/