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dc.contributor.advisor MacLane, G. R.
dc.creatorFilgo, Holland C
dc.date.accessioned 2016-04-22T21:59:13Z
dc.date.available 2016-04-22T21:59:13Z
dc.date.issued 1951
dc.identifier.citation Filgo, Holland C. "Covering surfaces." (1951) Master’s Thesis, Rice University. https://hdl.handle.net/1911/89970.
dc.identifier.urihttps://hdl.handle.net/1911/89970
dc.description.abstract Certain parts of the theory of covering surfaces are treated briefly in the literature as they occur in connection with other topics, but very little has been written on the subject itself, particularly in English. Besides being of interest in itself, the subject of covering surfaces has important applications in other fields of mathematics, especially in the study of Riemann surfaces. As is the case with any discussion of a topic in mathematics, the treatment here is merely an introduction. Sections 2 through 6 are concerned with unbranched coverings; the universal covering is studied thoroughly and then follows a brief treatment of regular unbranched coverings in general. The last two sections give a definition of regularly branched coverings and a consideration of the possible simply connected regularly branched coverings. The author *wishes to express his indebtedness to Professor G. R. MacLane, without whose guidance the work would never have been accomplished.
dc.format.extent 67 pp
dc.language.iso eng
dc.title Covering surfaces
dc.type Thesis
dc.identifier.digital RICE1005
dc.type.material Text
thesis.degree.department Mathematics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Arts
dc.format.digitalOrigin reformatted digital
dc.identifier.callno Thesis Math. 1951 Filgo


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