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https://dipositint.ub.edu/dspace/handle/2445/203201
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Bagaria, Joan | - |
dc.contributor.author | Reverté Jorge, Mercè | - |
dc.date.accessioned | 2023-10-27T09:27:58Z | - |
dc.date.available | 2023-10-27T09:27:58Z | - |
dc.date.issued | 2023-06-12 | - |
dc.identifier.uri | http://hdl.handle.net/2445/203201 | - |
dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Joan Bagaria | ca |
dc.description.abstract | [en] The linear continuum is a mathematical object of great importance. In this project we give a construction of the real numbers, a particular linear continuum, starting with the natural numbers and using basic notions of set theory. We briefly discuss the set of real numbers as a complete ordered field. Finally, we present some of its regularity properties under ZFC, where we also see the existence of pathological sets of real numbers that don’t satisfy said properties. | ca |
dc.format.extent | 54 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | cat | ca |
dc.rights | cc-by-nc-nd (c) Mercè Reverté Jorge, 2023 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
dc.subject.classification | Teoria de conjunts | ca |
dc.subject.classification | Lògica matemàtica | - |
dc.subject.classification | Nombres reals | ca |
dc.subject.classification | Treballs de fi de grau | ca |
dc.subject.other | Set theory | en |
dc.subject.other | Mathematical logic | - |
dc.subject.other | Real numbers | en |
dc.subject.other | Bachelor's theses | en |
dc.title | Construcció dels nombres reals: estructura i propietats del continu | ca |
dc.type | info:eu-repo/semantics/bachelorThesis | ca |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_merce_reverte_jorge.pdf | Memòria | 659.29 kB | Adobe PDF | View/Open |
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