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A look at the single-valuedroot function of Riemann
Örebro University, School of Science and Technology.
2019 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

We study aspects of the multivalued complex root function and considerthree different ways to construct topological spaces where it becomes singlevalued.For each topological space created, we show that there exists homeomorphismsto the unit sphere. A generalisation is given (Theorem 6.1.4)which can be used to create new domains to multivalued inverses for continuousfunctions. We compare the different ways to create the domains astopological spaces together with their single-valued functions.

Place, publisher, year, edition, pages
2019. , p. 43
National Category
Mathematics
Identifiers
URN: urn:nbn:se:oru:diva-72383OAI: oai:DiVA.org:oru-72383DiVA, id: diva2:1287438
Subject / course
Mathematics
Supervisors
Examiners
Available from: 2019-02-11 Created: 2019-02-11 Last updated: 2019-02-11Bibliographically approved

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fulltext(661 kB)69 downloads
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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • de-DE
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  • en-US
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  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
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