Search for dissertations about: "Dimensional spaces"

Showing result 1 - 5 of 103 swedish dissertations containing the words Dimensional spaces.

2. 1. Moduli spaces of zero-dimensional geometric objects

   Author : Christian Lundkvist; Dan Laksov; Jason Starr; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Algebraic geometry; Commutative algebra; Moduli spaces; Algebra and geometry; Algebra och geometri;

   Abstract : The topic of this thesis is the study of moduli spaces of zero-dimensional geometricobjects. The thesis consists of three articles each focusing on a particular moduli space.The first article concerns the Hilbert scheme Hilb(X). This moduli space parametrizesclosed subschemes of a fixed ambient scheme X. READ MORE

4. 2. Asymptotic Problems on Homogeneous Spaces

   Author : Anders Södergren; Andreas Strömbergsson; Dennis Hejhal; Jens Marklof; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Analysis on homogeneous spaces; hyperbolic manifolds; spectral theory; equidistribution; the space of lattices; length statistics; Poisson process; moments; Epstein zeta function; value distribution; height function.; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

   Abstract : This PhD thesis consists of a summary and five papers which all deal with asymptotic problems on certain homogeneous spaces. In Paper I we prove asymptotic equidistribution results for pieces of large closed horospheres in cofinite hyperbolic manifolds of arbitrary dimension. READ MORE

5. 3. Interpolation of Hilbert spaces

   Author : Yacin Ameur; Frank Hansen; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Interpolation; Hilbert space; K-functional; K-monotonicity; Calderon couple; Pick function; matrix monotone function; K_2-functional; Löwner s and Donoghue s theorems.; MATEMATIK; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

   Abstract : (i) We prove that intermediate Banach spaces A, B with respect to arbitrary Hilbert couples H, K are exact interpolation iff they are exact K-monotonic, i.e. the condition f0∊A and the inequality K(t,g0;K)≤K(t,f0;H), t>0 imply g0∊B and ||g0||B≤||f0||A (K is Peetre's K-functional). READ MORE

6. 4. 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

7. 5. Digital Geometry and Khalimsky Spaces

   Author : Erik Melin; Christer Kiselman; Gunilla Borgefors; Mikael Passare; Jean Serra; Uppsala universitet; []
   Keywords : Applied mathematics; Khalimsky topology; digital geometry; digital topology; Alexandrov space; digital surface; digital curve; digital manifold; continuous extension; smallest-neighborhood space; image processing; Tillämpad matematik;

   Abstract : Digital geometry is the geometry of digital images. Compared to Euclid’s geometry, which has been studied for more than two thousand years, this field is very young.Efim Khalimsky’s topology on the integers, invented in the 1970s, is a digital counterpart of the Euclidean topology on the real line. READ MORE