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tfg_merce_reverte_jorge.pdf (659.29 KB)

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Bachelor thesis

Publication date

2023-06-12

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cc-by-nc-nd (c) Mercè Reverté Jorge, 2023
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/203201

Construcció dels nombres reals: estructura i propietats del continu

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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.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Joan Bagaria

Subject

Teoria de conjunts, Lògica matemàtica, Nombres reals, Treballs de fi de grau

Subject (English)

Set theory, Mathematical logic, Real numbers, Bachelor's theses

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

REVERTÉ JORGE, Mercè. Construcció dels nombres reals: estructura i propietats del continu. [consulted: 14 of June of 2026]. Available at: https://hdl.handle.net/2445/203201

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