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Yonedova lema in njena uporaba
ID Taslak, Jure (Author), ID Bauer, Andrej (Mentor) More about this mentor... This link opens in a new window

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PID: 20.500.12556/rul/8c1a4e69-8f58-4402-8990-de323c24b425

Abstract
V diplomskem delu je obravnavana Yonedova lema, ki velja za enega osre- dnjih izrekov teorije kategorij. Uvodni del denira osnovne pojme v teoriji kategorij, ki so kasneje uporabljeni za formulacijo in dokaz leme. Skozi be- sedilo je predstavljen tudi kategoricni nacin razmisljanja, ki nam omogoca specicno situacijo, ki jo srecamo v matematiki, obravnavati bistveno bolj splosno, z uporabo kategoricnih metod. V zakljucnem poglavju je predsta- vljena in dokazana Yonedova lema, ki nam poda nacin za obravnavo kate- gorije z obravnavo njene vlozitve v kategorijo funktorjev. Predstavljenih je tudi nekaj primerov uporabe leme.

Language:Slovenian
Keywords:Teorija kategorij, Yonedova lema, kategorije
Work type:Bachelor thesis/paper
Organization:FRI - Faculty of Computer and Information Science
Year:2017
PID:20.500.12556/RUL-95799 This link opens in a new window
Publication date in RUL:21.09.2017
Views:1640
Downloads:460
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Secondary language

Language:English
Title:Yoneda lemma and its applications
Abstract:
The thesis discusses the Yoneda lemma, which is considered one of the central theorems in category theory. The introduction denes the basic concepts of category theory, which are later used to formulate and prove the lemma. Throughout the text there are examples of the categorical way of thinking, where we take a specic situation, that we encounter in mathematics and look at it in a more general setting. In the nal chapter we describe and prove the Yoneda lemma, that presents a way of studying a category, by studying its inclusion into a category of functors. We show some use cases of the lemma.

Keywords:Category theory, Yoneda lemma, categories

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