Curtis, Morton L.2016-04-222016-04-221972Chow, Yen-Whei. "Residually finite properties of covering spaces." (1972) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/90090">https://hdl.handle.net/1911/90090</a>.https://hdl.handle.net/1911/90090The purpose of this thesis is trying to construct some negative results for Griffith’s theorem 1 in (3) by showing theorem 1.1 and a counter-example in Section 2. I also give some general positive results for this work in Section 3, to go with the negative ones. It is well known that Fuchsian groups are residually finite. Section 4 provides some topological construction of Fuchsian groups which yield a simple proof of their residual finiteness.35 ppengCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.ThesisRICE1126reformatted digitalThesis Math. 1972 Chow