We study the phenomenon of chirality in the context of manifolds. An orientable manifold is called amphicheiral if it admits an orientation-reversing self-map and chiral if it does not. In addition to being continuous and ...

We study cohomology Bott manifolds by means of modified surgery theory. Cohomology Bott manifolds admit a ring isomorphism to the cohomology ring of a Bott manifold which preserves the Pontrjagin and Stiefel-Whitney classes. ...

We develop the foundations of G-global homotopy theory as a synthesis of classical equivariant homotopy theory on the one hand and global homotopy theory in the sense of Schwede on the other hand. Using this framework, we ...

This thesis mainly deals with finiteness properties of the classifying space for the family of virtually cyclic subgroups. We establish a link between the finiteness of the classifying space and the conjugacy growth invariant ...

In this thesis we introduce the class of factorable groups. These are normed groups together with a norm preserving decemposition (or factorization) of each group element into two factors.
Already the norm alone ...