Search for dissertations about: "Category theory"

Showing result 6 - 10 of 181 swedish dissertations containing the words Category theory.

  2. 6. Essays on Econometric Theory

    Author : Peter Jochumzen; Nationalekonomiska institutionen; []
    Keywords : SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; economic theory; econometrics; Economics; measure of fit; unemployment insurance; non proportionality; stochastic frontier production function; diffusion of technology; Duration analysis; economic systems; economic policy; Nationalekonomi; ekonometri; ekonomisk teori; ekonomiska system; ekonomisk politik;

    Abstract : This dissertation contains a variety of contributions to econometric theory. Broadly speaking, econometrics may be categorized depending on what type of data is being analyzed, the two main categories being time series data and cross sectional data. A third category is panel data, combining cross sectional data observed over time. READ MORE

  4. 7. N-complexes and Categorification

    Author : Djalal Mirmohades; Volodymyr Mazorchuk; Steffen Oppermann; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Homological algebra; Category theory; Triangulated categories; K-theory; Hopfological algebra; Mathematics; Matematik;

    Abstract : This thesis consists of three papers about N-complexes and their uses in categorification. N-complexes are generalizations of chain complexes having a differential d satisfying dN = 0 rather than d2 = 0. Categorification is the process of finding a higher category analog of a given mathematical structure. READ MORE

  5. 8. Representation theorems for abelian and model categories

    Author : Anna Giulia Montaruli; Peter LeFanu Lumsdaine; Gregory Arone; Marek Zawadowski; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Category Theory; Logic; Algebra; Homotopy Theory; matematik; Mathematics;

    Abstract : In this PhD thesis we investigate a representation theorem for small abelian categories and a representation theorem for left proper, enriched model categories, with the purpose of describing them concretely in terms of specific well-known categories.For the abelian case, we study the constructivity issues of the Freyd-Mitchell Embedding Theorem, which states the existence of a full embedding from a small abelian category into the category of modules over an appropriate ring. READ MORE

  6. 9. Semigroups, multisemigroups and representations

    Author : Love Forsberg; Volodymyr Mazorchuk; Ernst Dieterich; Stuart Margolis; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; representation theory; semigroups; multisemigroups; category theory; 2-categories;

    Abstract : This thesis consists of four papers about the intersection between semigroup theory, category theory and representation theory. We say that a representation of a semigroup by a matrix semigroup is effective if it is injective and define the effective dimension of a semigroup S as the minimal n such that S has an effective representation by square matrices of size n. READ MORE

  7. 10. Quasi-Lie Algebras and Quasi-Deformations. Algebraic Structures Associated with Twisted Derivations

    Author : Daniel Larsson; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Talteori; fältteori; algebraisk geometri; algebra; gruppteori; Lie Algebras; Quasi-Deformations; Number Theory; field theory; algebraic geometry; group theory; Quasi-Lie Algebras;

    Abstract : This thesis introduces a new deformation scheme for Lie algebras, which we refer to as ?quasi-deformations? to clearly distinguish it from the classical Grothendieck-Schlessinger and Gers-tenhaber deformation schemes. The main difference is that quasi-deformations are not in gene-ral category-preserving, i.e. READ MORE