In the article, we first introduce the basic concepts from category theory: category, functor, natural transformation, limit, colimit. All these concepts are illustrated with examples. Then, we provide two definitions of adjoint functors and show that they are equivalent. In the final chapter, we focus on categories that arise from partially ordered sets. We study how the concepts discussed earlier behave in these categories, prove the adjoint functor theorem and in the end, we characterize the continuity of functions as the adjunction of a certain pair of functors.

Rights

URN

URN:NBN:SI:DOC-AA1G41S4

COBISSID

209467907

Added

13.02.2025

Metadata

Citation

APA:

Matevc, Andrej (2024). Adjungirani funktorji in delno urejene množice. Matrika, volume 11, issue 2, 13 str. URN:NBN:SI:DOC-AA1G41S4 from http://www.dlib.si

MLA:

Matevc, Andrej. "Adjungirani funktorji in delno urejene množice." Matrika volume 11. issue 2 (2024) 13 str..
<http://www.dlib.si/?URN=URN:NBN:SI:DOC-AA1G41S4>

Matrika
2014-
(Assembly record)