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Topological groups. Lie groups

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Topological groups. Lie groups

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This monograph presents developments in the abstract theory of topological dynamics, concentrating on the internal structure of minimal flows (actions of groups on compact Hausdorff spaces for which every orbit is dense) and their homomorphisms (continuous equivariant maps). Various classes of minimal flows (equicontinuous, distal, point distal) are intensively studied, and a general structure theorem is obtained. Another theme is the ``universal'' approach - entire classes of minimal flows are studied, rather than flows in isolation. This leads to the consideration of disjointness of flows,

Minimal flows. --- Topological dynamics. --- Dynamics, Topological --- Differentiable dynamical systems --- Flows (Differentiable dynamical systems)

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Topological groups. Lie groups --- 51 --- 51 Mathematics --- Mathematics --- Functional analysis

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Symmetric spaces --- 512.81 --- 512.81 Lie groups --- Lie groups --- Topological groups. Lie groups --- Groups, Lie --- Lie algebras --- Topological groups --- Groupes de Lie --- Lie, Groupes de