Subgroups and Quotients of Fundamental Groups

We explore the descriptive set theory of subgroups of fundamental groups, giving theorems regarding dichotomies on cardinality. In paticular, we show that the quotient of the fundamental group of a path connected, locally path connected Polish space by a normal subgroup which is sufficiently eay to...

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Bibliographic Details
Main Author: Corson, Samuel Mark
Other Authors: Mark V. Sapir
Format: Others
Language:en
Published: VANDERBILT 2016
Subjects:
Online Access:http://etd.library.vanderbilt.edu/available/etd-03252016-151756/