Parallelizability revisited
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- by Otomar Hájek PDF
- Proc. Amer. Math. Soc. 27 (1971), 77-84 Request permission
Abstract:
A classical theorem (Antosiewicz and Dugundji) states that a dynamical system on a locally compact separable metric space is parallelizable if and only if it is dispersive. In this paper it is shown that separability may be omitted, and, under a further condition, local compactness weakened to local Lindelöfness. The crucial step consists in a purely topological characterization of complete instability.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 77-84
- MSC: Primary 54.82; Secondary 34.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0271925-7
- MathSciNet review: 0271925