Fakultäten der Universität Bonn: Suche
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A Potpourri of Partition Properties
(2014-08-06)
The cardinal characteristic inequality r <= hm3 is proved. Several partition relations for ordinals and one for countable scattered types are given. Moreover partition relations for lexicographically ordered sequences of ...
Two Models for the Homotopy Theory of Cocomplete Homotopy Theories
(2014-08-06)
There two major approaches to the problem of formalizing the notion of a "homotopy theory", they are homotopical algebra and higher category theory. The main result of this thesis is a precise comparison between these ...
Thin Viscous Films on Curved Geometries
(2014-08-29)
The topic of this thesis is the evolution of thin viscous films on curved substrates. Using techniques from differential geometry, namely the exterior calculus of differential forms, and from optimization theory, in ...
Factorization of holomorphic eta quotients
(2014-12-12)
We conjecture the occurrence of a certain type of factor of a holomorphic eta quotient whenever it is reducible and we prove this conjecture for all prime power levels. In particular, this also implies that rescaling and ...
L2-index theory, the Chern conjecture, and manifolds of special holonomy
(2014-12-12)
In this dissertation we study a conjecture attributed to Chern and Hopf, a generalization of Atiyah's L2-index theorem used by Gromov to prove said conjecture for Kähler manifolds, and an extension to Kähler ......
Flat Fronts and Stability for the Porous Medium Equation
(2014-08-26)
This work shows stability of general solutions of the porous medium equation close to flat travelling wave fronts in the sense of homogeneous Lipschitz spaces under rather weak conditions on the initial data that are optimal ...