Search for dissertations about: "Mapping spaces"

Showing result 1 - 5 of 45 swedish dissertations containing the words Mapping spaces.

  2. 1. Modeling mapping spaces with short hammocks

    Author : Sebastian Öberg; Wojciech Chachólski; Fernando Muro; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mapping spaces; hammocks; homotopy theory; category theory; Matematik; Mathematics;

    Abstract : We construct a category of short hammocks and show that it has the weak homotopy type of mapping spaces. In doing so we tackle the problem of applying the nerve to large categories without the use of multiple universes. We also explore what the mapping space is. READ MORE

  4. 2. Semantic Mapping in Warehouses

    Author : Saeed Gholami Shahbandi; Björn Åstrand; Roland Philippsen; Antanas Verikas; Martin Magnusson; Högskolan i Halmstad; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Automation; Robotics; Mapping; Semantic Maps; Warehouse Automation;

    Abstract : This thesis and appended papers present the process of tacking the problem of environment modeling for autonomous agent. More specifically, the focus of the work has been semantic mapping of warehouses. A semantic map for such purpose is expected to be layout-like and support semantics of both open spaces and infrastructure of the environment. READ MORE

  5. 3. Stable invariants of some topological moduli spaces

    Author : Erik Lindell; Dan Petersen; Alexander Berglund; Andrew Putman; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Moduli spaces; mapping class groups; stable invariants; matematik; Mathematics;

    Abstract : This thesis consists of three papers, treating stability phenomena in various automorphism groups in topology. In Papers I and III, we study the group (co)homology of certain mapping class groups of surfaces and graphs, or their respective Torelli subgroups, while the subject of Paper II is homotopy automorphisms of higher-dimensional spaces and manifolds. READ MORE

  6. 4. Residue currents on analytic spaces

    Author : Richard Lärkäng; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; analytic spaces; weakly holomorphic functions; residue currents; Coleff-Herrera products; the duality theorem; weakly holomorphic functions;

    Abstract : This thesis concerns residue currents on analytic spaces. In the first paper, we construct Coleff-Herrera products and Bochner-Martinelli type currents associated with a weakly holomorphic mapping, and show that these currents satisfy well-known properties from the strongly holomorphic case. READ MORE

  7. 5. Homotopy Theory and TDA with a View Towards Category Theory

    Author : Sebastian Öberg; Wojciech Chachólski; David Blanc; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Homotopy theory; Topological Data Analysis; Category theory; Mapping spaces; Homotopy commutative diagrams; Matematik; Mathematics;

    Abstract : This thesis contains three papers. Paper A and Paper B deal with homotopy theory and Paper C deals with Topological Data Analysis. All three papers are written from a categorical point of view.In Paper A we construct categories of short hammocks and show that their weak homotopy type is that of mapping spaces. READ MORE