Date of Award
1-1-2017
Language
English
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
College/School/Department
Department of Mathematics and Statistics
Content Description
1 online resource (ii, iv, 34 pages) : illustrations (some color)
Dissertation/Thesis Chair
Boris Goldfarb
Committee Members
Marco Varisco, Alexandre Tchernev, Anupam Srivastav
Keywords
algebra, coarse, geometry, Metric spaces, FC-groups, Topology, Distance geometry, Geometric group theory, Decomposition (Mathematics)
Subject Categories
Physical Sciences and Mathematics
Abstract
We prove extension theorems for several geometric properties such as asymptotic property C (APC), finite decomposition complexity (FDC), straight finite decomposition complexity (sFDC) which are weakenings of Gromov’s finite asymptotic dimension (FAD).
Recommended Citation
Beckhardt, Susan, "Extension properties of asymptotic property C and finite decomposition complexity" (2017). Legacy Theses & Dissertations (2009 - 2024). 1782.
https://scholarsarchive.library.albany.edu/legacy-etd/1782