The Topological-Euclidean Space Form Problem.
Topological classification of multiaxial -actions (with an appendix by Jared Bass)
This paper begins the classification of topological actions on manifolds by compact, connected, Lie groups beyond the circle group. It treats multiaxial topological actions of unitary and symplectic groups without the dimension restrictions used in earlier works by M. Davis and W. C. Hsiang on differentiable actions. The general results are applied to give detailed calculations for topological actions homotopically modeled on standard multiaxial representation spheres. In the present topological...
Topological conjugation classes of tightly transitive subgroups of Homeo₊(ℝ)
Let ℝ be the real line and let Homeo₊(ℝ) be the orientation preserving homeomorphism group of ℝ. Then a subgroup G of Homeo₊(ℝ) is called tightly transitive if there is some point x ∈ X such that the orbit Gx is dense in X and no subgroups H of G with |G:H| = ∞ have this property. In this paper, for each integer n > 1, we determine all the topological conjugation classes of tightly transitive subgroups G of Homeo₊(ℝ) which are isomorphic to ℤⁿ and have countably many nontransitive points.
Topological transitivity of solvable group actions on the line ℝ
Let ϕ:G → Homeo₊(ℝ) be an orientation preserving action of a discrete solvable group G on ℝ. In this paper, the topological transitivity of ϕ is investigated. In particular, the relations between the dynamical complexity of G and the algebraic structure of G are considered.
Total spaces of circle bundles over lens spaces
Transformation Groups on Homogeneous-Rational Manifolds.
Transformationsgruppen mit affinen Bahnen.
Über eine topologische und zahlentheoretische Anwendung von Hirzebruchs Spitzenauflösung.
Über Homöomorphismen n-dimensionaler Henkelkörper und endliche Erweiterungen von Schottky-Gruppen.
Uniqueness of Symmetries of Knots.
Unitary spectum and the fundamental group for actions of semisimple Lie groups.
Vector bundles over three-dimensional spherical space forms.
Verschlingungssysteme in glatten Darstellungsformen.
Weylgruppe und Momentabbildung.
When are Topologically Equivalent Orthogonal Transformations Linearly Equivalent?
-actions on 3-manifolds
Z/p Bordism.
Zur Konstruktion homogener Kegel.
Алгебраические группы преобразований максимального ранга
Геометрическая характеризация свободных конструкций проконечных групп.