Categorical Preliminaries

Ulrich Höhle
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Ulrich Höhle: Bergische Universität, Fachbereich Mathematik

Chapter Chapter 1 in Many Valued Topology and its Applications, 2001, pp 13-27 from Springer

Abstract: Abstract The purpose of this chapter is to explain prerequisites for a theory of partially ordered monads and for a categorical treatment of the foundations of topology. We expect familiarity with basic notions and concepts of category theory — e.g. limits, co-limits, functors, natural transformations and adjoint situations. Most of this material can be found in standard books on category theory (cf. [74, 41]). Here we only recall important properties of (epi, extremal mono)-categories and monads which we frequently need in the following chapters and sections.

Keywords: Natural Transformation; Factorization Property; Clone Form; Categorical Preliminary; Adjoint Functor (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-1617-0_2

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DOI: 10.1007/978-1-4615-1617-0_2

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