A look at the single-valuedroot function of Riemann

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...

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Bibliographic Details
Main Author:	Lundgren, Adam
Format:	Others
Language:	English
Published:	Örebro universitet, Institutionen för naturvetenskap och teknik 2019
Subjects:	Mathematics Matematik
Online Access:	http://urn.kb.se/resolve?urn=urn:nbn:se:oru:diva-72383

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spelling	ndltd-UPSALLA1-oai-DiVA.org-oru-723832019-02-12T06:16:59ZA look at the single-valuedroot function of RiemannengLundgren, AdamÖrebro universitet, Institutionen för naturvetenskap och teknik2019MathematicsMatematikWe 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. Student thesisinfo:eu-repo/semantics/bachelorThesistexthttp://urn.kb.se/resolve?urn=urn:nbn:se:oru:diva-72383application/pdfinfo:eu-repo/semantics/openAccess
collection	NDLTD
language	English
format	Others
sources	NDLTD
topic	Mathematics Matematik
spellingShingle	Mathematics Matematik Lundgren, Adam A look at the single-valuedroot function of Riemann
description	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.
author	Lundgren, Adam
author_facet	Lundgren, Adam
author_sort	Lundgren, Adam
title	A look at the single-valuedroot function of Riemann
title_short	A look at the single-valuedroot function of Riemann
title_full	A look at the single-valuedroot function of Riemann
title_fullStr	A look at the single-valuedroot function of Riemann
title_full_unstemmed	A look at the single-valuedroot function of Riemann
title_sort	look at the single-valuedroot function of riemann
publisher	Örebro universitet, Institutionen för naturvetenskap och teknik
publishDate	2019
url	http://urn.kb.se/resolve?urn=urn:nbn:se:oru:diva-72383
work_keys_str_mv	AT lundgrenadam alookatthesinglevaluedrootfunctionofriemann AT lundgrenadam lookatthesinglevaluedrootfunctionofriemann
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A look at the single-valuedroot function of Riemann

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