Sökning: "Mats Aigner"

Hittade 3 avhandlingar innehållade orden Mats Aigner.

1. 1. Singular Ginzburg-Landau Vortices

   Författare :Mats Aigner; Matematik (naturvetenskapliga fakulteten); []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; singularities; Ginzburg-Landau; vortices; Matematik;

   Sammanfattning : In this thesis we study the critical Ginzburg-Landau action, defined on fields in the plane which are allowed to have a finite number of singularities. We show that a topological invariant, the degree, can be defined under the assumption of finite action only. LÄS MER

3. 2. Families of Sets Without the Baire Property

   Författare :Venuste Nyagahakwa; Vitalij Tjatyrko; Mats Aigner; Isidore Mahara; Vesko Valov; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : The family of sets with the Baire property of a topological space X, i.e., sets which differ from open sets by meager sets, has different nice properties, like being closed under countable unions and differences. On the other hand, the family of sets without the Baire property of X is, in general, not closed under finite unions and intersections. LÄS MER

4. 3. Semigroups of Sets Without the Baire Property In Finite Dimensional Euclidean Spaces

   Författare :Venuste Nyagahakwa; Vitalij A. Chatyrko; Mats Aigner; Vesko Valov; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : A semigroup of sets is a family of sets closed under finite unions. This thesis focuses on the search of semigroups of sets in finite dimensional Euclidean spaces Rn, n ≥ 1, which elements do not possess the Baire property, and on the study of their properties. LÄS MER