Semicontinuity, a concept credited to Baire by Edgar Phillips, is an important generalization of the definition of continuity and can be obtained by dropping a portion of the requirements imposed upon a continuous function. The purpose of this paper is to present a number of theorems on semicontinuity and to use these results in the development of the Daniell integral. / Advisor: Dwight B. Goodner, Professor Directing Paper. / Typescript. / "August, 1955." / "Submitted to the Graduate Council of Florida State University in partial fulfillment of the requirements for the degree of Master of Science." / Includes bibliographical references (leaf 29).
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_257009 |
| Contributors | Flis, Joanne Caroline (authoraut), Goodner, Dwight B. (professor directing thesis.), Florida State University (degree granting institution) |
| Publisher | Florida State University, Florida State University |
| Source Sets | Florida State University |
| Language | English, English |
| Detected Language | English |
| Type | Text, text |
| Format | 1 online resource (iii, 29 leaves), computer, application/pdf |
| Rights | This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them. |
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