Search for dissertations about: "algebraic topology"

Showing result 6 - 10 of 19 swedish dissertations containing the words algebraic topology.

  2. 6. Geometric Models of Similarity

    Author : Mikael Johannesson; Kognitionsvetenskap; []
    Keywords : HUMANIORA; HUMANITIES; symmetry; similarity; separable dimensions; prominence; multidimensional scaling; Minkowski metric; machine learning; integral dimensions; familiarity; geometric models; distance metric; asymmetry; conceptual spaces; Computer science; numerical analysis; systems; control; Datalogi; numerisk analys; system; kontroll; Geometry; algebraic topology; Geometri; algebraisk topologi;

    Abstract : This dissertation examines and discusses some phenomena related to the geometric representation of similarity. It takes its inspiration from the existing body of empirical research within the fields of perceptual and cognitive psychology, but also connects to certain areas of machine learning. READ MORE

  4. 7. Linear analysis of frame structures by use of algebraic topology

    Author : Alf Samuelsson; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY;

    Abstract : .... READ MORE

  5. 8. On the topology of the coamoeba

    Author : Petter Johansson; Håkan Samuelsson; Eva Maria Feichtner; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Coamoeba; Ronkin function; matematik; Mathematics;

    Abstract : In this thesis we study the topology and geometry of the coamoeba of an algebraic variety V. The strategy that we use is to relate the coamoebas corresponding to the initial varieties of V to the coamoeba of V. We also define an analogue of the Ronkin function for the coamoeba and give an explicit formula for it.. READ MORE

  6. 9. Universal algebraic structures on polyvector fields

    Author : Johan Alm; Sergei Merkulov; Anton Alekseev; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

    Abstract : The theory of operads is a conceptual framework that has become a kind of universal language, relating branches of topology and algebra. This thesis uses the operadic framework to study the derived algebraic properties of polyvector fields on manifolds.The thesis is divided into eight chapters. READ MORE

  7. 10. Knots and Surfaces in Real Algebraic and Contact Geometry

    Author : Johan Björklund; Tobias Ekholm; Grigory Mikhalkin; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Algebra and geometry; Algebra och geometri; Mathematics; Matematik;

    Abstract : This thesis consists of a summary and three articles. The thesis is devoted to the study of knots and surfaces with additional geometric structures compared to the classical smooth structure. READ MORE