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Master thesis

Publication date

2018-09-11

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cc-by-sa (c) Marc Adillón Albero, 2018
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/128905

Localizaciones de Bousfield para tipos de homotopía truncados

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Abstract

[en] Localizations of homotopy theories are a fundamental tool in algebraic topology. They were introduced by Bousfield in the seventies to study topological spaces. Nowadays, these constructions are formulated, much more generally, using the language of model categories and play a key role in abstract homotopy theory. The main objectives of this project is prove that several known model structures in topological spaces, whose homotopy categories model truncated homotopy types, are instances Bousfield localizations.

Description

Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2018, Director: Javier José Gutiérrez Marín

Subject

Espais topològics, Teoria de l'homotopia, Treballs de fi de màster, Categories (Matemàtica)

Subject (English)

Topological spaces, Homotopy theory, Master's theses

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Màster Oficial - Matemàtica Avançada

Citation

ADILLÓN ALBERO, Marc. Localizaciones de Bousfield para tipos de homotopía truncados. [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/128905

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