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TFM_Gallart Rodríguez_Curial.pdf (868.54 KB)

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Master thesis

Publication date

2020-10

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cc-by-nc-nd (c) Gallart Rodríguez, 2020
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/171396

Cardinal Arithmetic: From Silver’s Theorem to Shelah’s PCF Theory

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Abstract

The main goal of this master’s thesis is to give a detailed description of the major ZFC advances in cardinal arithmetic from Silver’s Theorem to Shelah’s pcf theory and his bound on 2אω. In our attempt to make this thesis as self-contained as possible, we have devoted the first chapter to review the most elementary concepts of set theory, which include all the classical results from the first period of developement of cardinal arithmetic, from 1870 to 1930, due to Cantor, Hausdorff, König, and Tarski.

Description

Treballs Finals del Màster de Lògica Pura i Aplicada, Facultat de Filosofia, Universitat de Barcelona, Curs: 2019-2020, Tutor: Joan Bagaria Pigrau

Subject

Lògica matemàtica, Teoria de conjunts, Nombres cardinals, Treballs de fi de màster

Subject (English)

Mathematical logic, Set theory, Cardinal numbers, Master's theses

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Màster Oficial - Pure and Applied Logic / Lògica Pura i aplicada

Citation

GALLART RODRÍGUEZ, Curial. Cardinal Arithmetic: From Silver’s Theorem to Shelah’s PCF Theory. [consulted: 7 of August of 2026]. Available at: https://hdl.handle.net/2445/171396

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