{"id":{"repo_id":"rice","oai_identifier":"oai:repository.rice.edu:1911/90090"},"canonical_url":"https://search.dev.ndltd.org/etd/rice/oai:repository.rice.edu:1911/90090","repository":{"repo_id":"rice","name":"Rice University","base_url":"https://repository.rice.edu/server/oai/request"},"display":{"title":"Residually finite properties of covering spaces","abstract":"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.","abstract_html":"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.","abstract_has_math":false,"creators":["Chow, Yen-Whei"],"institution":"Rice University","degree_name":"Master of Arts","degree_level":"Masters","degree_discipline":"Natural Sciences","degree_department":null,"school":null,"contributors":[],"advisors":["Curtis, Morton L."],"committee_chairs":[],"committee_members":[],"year":1972,"date_issued":"1972","date_published":"1972","updated_at":"2026-07-24T04:10:28Z","subjects":[],"languages":["eng"],"rights":["Copyright is held by the author, unless otherwise indicated. 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Section 4 provides some topological construction of Fuchsian groups which yield a simple proof of their residual finiteness."]},{"key":"dc:title","label":"Title","values":["Residually finite properties of covering spaces"]}]}],"canonical_facts":{"dc:contributor.advisor":["Curtis, Morton L."],"dc:creator":["Chow, Yen-Whei"],"dc:date.accessioned":["2016-04-22T21:59:43Z"],"dc:date.available":["2016-04-22T21:59:43Z"],"dc:date.issued":["1972"],"dc:description.abstract":["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. 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