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The Removal Lemma: algebraic versions and applications

Author
Vena , L.
Type of activity
Theses
Doctorate programme unit
School of Mathematics and Statistics (FME)
Other related units
Department of Applied Mathematics IV
Defense's date
2012-07-02
Repository
http://hdl.handle.net/2117/95187 Open in new window
URL
http://hdl.handle.net/2117/95187 Open in new window
Abstract
This thesis presents some contributions in additive combinatorics and arithmetic Ramsey theory. More specifically, it deals with the interaction between combinatorics, number theory and additive combinatorics. This area saw a great improvement with the Szemerédi Regularity Lemma and some of the results that followed. The Regularity Lemma and its consequences have become a widely used tool in graph theory, combinatorics and number theory. Furthermore, its language and point of view has deeply ch...
Group of research
GAPCOMB - Geometric, Algebraic and Probabilistic Combinatorics
Citation
Vena Cros, L. "The Removal Lemma: algebraic versions and applications". Tesi doctoral, UPC, Departament de Matemàtica Aplicada IV, 2012.

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