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Title: The hitchhiker guide to categorical Banach space theory. Part I.
Authors: Fernández Castillo, Jesús M.
Keywords: Teoría del espacio categórico de Banach;Construcciones universales;Dualidad y contigüidad;Categorical Banach space theory;Universal constructions;Duality and adjointness
Issue Date: 2010
Publisher: Universidad de Extremadura, Servicio de Publicaciones
Abstract: What has category theory to offer to Banach spacers? In this survey-like paper we will focus on some of the five basic elements of category theory –namely, i) The definition of category, functor and natural transformation; ii) Limits and colimits; iii) Adjoint functors; plus a naive presentation of Kan extensions– to support the simplest answer “tools that work and a point of view that helps to understand problems, even if one does not care at all about categories”. Homology will be treated in a second part.
Description: The author lectured on these topics while on leave visiting the Institute of Mathematics of the Polish Academy of Sciences supported by EC FP6 Marie Curie ToK programme SPADE2. Partially supported by project MTM2010-20190-C02-01
ISSN: 0213-8743
Appears in Collections:DMATE - Artículos
Extracta Mathematicae Vol. 25, nº 2 (2010)

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