The hitchhiker guide to categorical Banach space theory. Part I.

• Autores: Jesús María Fernández Castillo
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 25, Nº 2, 2010, págs. 103-149
• Idioma: inglés
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• Resumen

  • 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.