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

  • Autores: Jesús María Fernández Castillo Árbol académico
  • 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.


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