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Curtis, Morton L. Chow, Yen-Whei 2016-04-22T21:59:43Z 2016-04-22T21:59:43Z 1972 Chow, 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/1911/90090 RICE1126 Thesis Math. 1972 Chow The 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 pp reformatted digital eng Copyright 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. Residually finite properties of covering spaces Thesis Text Mathematics Natural Sciences Rice University Masters Master of Arts open.access