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.
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- Discrete Functions;
- Phase-Space Integral;
- Transformations (Mathematics);
- Euclidean Geometry;
- Fluid Mechanics and Heat Transfer