Halbeinfache Automorphismengruppen von vierdimensionalen stabilen Ebenen sind quasi-einfach.
Homeomorphic conjugates of Fuchsian groups.
Homeomorphism Groups and the Topologist's Sine Curve
It is shown that deleting a point from the topologist's sine curve results in a locally compact connected space whose autohomeomorphism group is not a topological group when equipped with the compact-open topology.
Homeomorphism groups of manifolds and Erdős space.
Homeomorphism groups of Sierpiński carpets and Erdős space
Erdős space is the “rational” Hilbert space, that is, the set of vectors in ℓ² with all coordinates rational. Erdős proved that is one-dimensional and homeomorphic to its own square × , which makes it an important example in dimension theory. Dijkstra and van Mill found topological characterizations of . Let , n ∈ ℕ, be the n-dimensional Menger continuum in , also known as the n-dimensional Sierpiński carpet, and let D be a countable dense subset of . We consider the topological group of all...
Homeotopy groups of compact 2-manifolds
Homeotopy groups of orientable 2-manifolds
Homotopy type of symplectomorphism groups of .