Distal transformation groups

Minimal Transformation Groups with Distal Points

The purpose of this department is to provide early announcement of significant new results, with some indications of proof. Although ordinarily a research announcement should be a brief summary of a paper to be published in full elsewhere, papers giving complete proofs of results of exceptional interest are also solicited. Manuscripts more than eight typewritten double spaced pages long will no...

Distal Transformation Groups and Fibre Bundles

A Characterization of Distal and Point-distal Minimal Transformation Groups1

If G is a locally compact topological group, let BC{G) denote the set of real-valued, bounded, uniformly continuous functions on G with the compact-open topology. Using the fact that the distal (weakly distal) functions are the elements of BC(G) whose orbit closures are compact distal (point-distal) minimal sets, we can characterize compact distal and point-distal minimal transformation groups....

Topological Transformation Groups

1. Introduction This note will summarize some of the recent work on topological groups and discuss a few topics in transformation groups mainly in S 3 and S 4. In one aspect of this subject, namely the relation of general locally compact groups to Lie groups, information is now fairly complete. However in most other aspects the situation is far less satisfactory and in many areas known results ...

Methods of Transformation Groups

1. Continuous Transformation Groups 1.1. Local Transformation Groups 1.2. Lie Equations 1.3. Invariants 1.4. Invariant Manifolds 2. Invariant Differential Equations 2.1. The Continuation of Point Transformations 2.2. Defining Equation 2.3. Invariant and Partly Invariant Solutions 3. Tangential Transformations 3.1. Contact Transformations 3.2. Tangential Transformations of Finite and Infinite Or...