Irregular transformation groups on compact polyhedra
Abstract
Irregularities of discrete flows and continuous flows with compact polyhedra as phase spaces were studied. A compact polyhedron supports an irregular flow, either discrete or continuous, if and only if it has no principal 1-cells. Projections and lifts of uniformly irregular homeomorphisms via covering maps are uniformly irregular. Finally, characterizations of uniformly irregular homeomorphisms and expansive homeomorphisms are given.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1976
- Bibcode:
- 1976PhDT........79K
- Keywords:
-
- Discrete Functions;
- Phase-Space Integral;
- Polyhedrons;
- Transformations (Mathematics);
- Continuums;
- Euclidean Geometry;
- Irregularities;
- Topology;
- Fluid Mechanics and Heat Transfer