This bachelor thesis will give a introduction to Morse theory and the Morse inequalities. Morse theory is a method that can be used to determine the cells in the cell structure of a differentiable manifold. Most of the ...

In the world today, one has to cooperate in some capacity almost every day. However, cooperating is not always the most valuable thing to do for the individual and can be costly, so how can we sustain cooperation? ...

This thesis follows the construction by Milnor of a 7-manifold that is homeomorphic to the 7-sphere but not diffeomorphic. By gluing two solid tori along the boundary under a diffeomorphism you obtain a 7-manifold. Points ...

In this thesis we introduce a new method to count the number of self-avoiding walks of a certain length. This method is called k-splitting and is based on the length-doubling en length-tripling method. The k-splitting ...

Although tridiagonal matrices have many applications, such as in linear models where objects are influenced only by their neighbouring objects, few methods exist to compute their eigenvalues analytically. The present thesis ...