Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 56 for “"algebraic topology"”.
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Network and Algebraic Topology of Influenza Evolution
… 2. FluGraph, a technique that employs network topology to track the spread of seasonal influenza around the world. The second chapter of my thesis examines how mutations and reassortment combine to alter the course of influenza evolution towards pandemic formation. I highlight inherent …
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Some combinatorial aspects in algebraic topology and geometric group theory
… Msc thesis deals with classical topics of topology and it has been written, referring to [C. Kosniowski, Introduction to Algebraic Topology, Cambridge University Press, 1980, Cambridge], which is a well known textbook of algebraic topology. It has been selected a list of main exercises from …
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Gestión mecanizada del conocimiento matemático en topología algebraica
… Mathematical Knowledge Management to Algebraic Topology. Mathematical Knowledge Management is a branch of Computer Science whose main goal consists in developing integral assistants for Mathematics including computation, deduction and powerful user interfaces able to make the daily …
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Topological Deep Learning: Graphs, Complexes, Sheaves
… It is natural to formalise these axioms using algebraic topology. The "space'' in question is a topological space - a set with a neighbourhood structure - and the data attached to its neighbourhoods are algebraic objects like vector spaces. Since graphs, manifolds and everything in between is a …
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Non-Commutative Probability for the Spectral Analysis of Simplicial Complexes
… exposition of the areas of free probability and algebraic topology; here, we do not present cutting-edge research in either free probability or algebraic topology. The author did a literature review for both fields and presents here the results in a comprehensive way along with detailed proofs …
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Fusion action systems by Matthew J.K. Gelvin.
… object that reflects local data in more abstract algebraic settings, such as the block theory of finite groups. Martino and Priddy conjectured that the algebraic data of a fusion system of a finite group should have a topological interpretation, which result was proved by Oliver using the notion …
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The odd chern character and obstruction theory
… have some background in topological Δ-theory and algebraic topology.
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Two Aspects of Topology in Graph Configuration Spaces
… spaces are pseudomanifolds with boundary. In algebraic topology, graph configuration spaces are closely related to classical braid groups, which can be described as fundamental groups of configuration spaces of points in the plane. We examine this relationship by finding a presentation for the …
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Differential Geometry in Computational Electromagnetics
The algebraic model of Part II represents a somewhat radical approach to computation. In this approach, rather than take the classical theory based on the continuum as a given and constructing approximate numerical techniques from there, work is done toward constructing an alternative to the …
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Topics In Nonabelian Tensor Products Of Topological Groups
… showing a series of relevant connections between algebraic topology, topological group theory, and homological algebra
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FROM DG-CATEGORIES OVER K TO K-LINEAR STABLE INFINITY-CATEGORIES
… This result is a meeting point between algebraic topology and algebraic geometry. In 2013 L. Cohn proved it in a preprint, and in 2016, he updated the preprint to its latest version. Since then the ∞-category theory and the spectral algebraic geometry theory have made progress: …
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Homología efectiva y sucesiones espectrales
… sequences are two different techniques of Algebraic Topology which can be used for the computation of homology and homotopy groups. In this work we try to relate both methods, showing that the effective homology method can also be used to produce algorithms computing some spectral …
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Objetos localmente efectivos y tipos abstractos de datos
… Computation system called EAT (Effective Algebraic Topology) designed by Rubio and Sergeraert. EAT is a Common Lisp system devoted to Algebraic Topology and a tool for the mechanized computation of homology groups of infinite topological spaces (namely, iterated loop spaces). In order to …
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Some Topological Aspects of Condensed Matter Physics
… lattice is presented. Using techniques from algebraic topology, a classification of band insulators with time reversal symmetry in two and three dimensions is presented. The possibility of a three dimensional quantum spin Hall effect is pointed out. A topological classification of lattice …
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Power operations and central maps in representation theory
… thesis is the novel application of techniques of algebraic topology (specifically, Steenrod's operations and Smith's localization theory) to representation theory (especially in the context of the geometric Satake equivalence). In Chapter 2, we use Steenrod's construction to prove that the quantum …
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Harmonic forms under metric and topological perturbations
… sum and the harmonic forms on the summands. Algebraic topology provides relations between the cohomology groups of these spaces via the Kunneth formula and the connected sum formula. We consider the problem of describing these relationships in terms of DeRham cohomology and in terms of Hodge …
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Processing biomedical images for the study of treatments related to neurodegenerative diseases
… and developed methods inspired by Computational Algebraic Topology and Machine Learning techniques. Notions such as the definition of connected components, or others related to the persistence homology and zigzag persistence theory have been used to compute the synaptic density or to recognise …
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Toroidal Matrix Links: Local Matrix Homotopies and Soft Tori
… matrix analogies of free homotopies in algebraic topology. In order to deal with the locality constraints, we have combined some techniques introduced in this document with several versions of the Basic Homotopy Lemma L.2.3.2, T.2.3.1 and C.2.3.1 obtained initially by Bratteli, Elliot, …
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