Browsing Department of Mathematics by Subject "TDA"

Now showing items 1-2 of 2

    • Dowker’s Theorem by Simplicial Sets and a Category of 0-Interleavings 

      Salbu, Lars Moberg (Master thesis, 2019-06-21)
      In this thesis we look at an alternative proof of Dowker’s theorem [4] using simplical sets. We prove the strongest version of the theorem [3], which can be applied to persistence homology in the sense that every nested ...

    • Equivalent Euclidean Data Complexes 

      Jakobsen, Kristian André (Master thesis, 2021-06-01)
      Euclidean data complexes are simplicial complexes that have been constructed from a point cloud in Euclidean space. Two of the most important examples of such complexes are the Čech and Alpha complex. In this thesis, we ...