Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-08T01:27:18.537Z Has data issue: false hasContentIssue false
  • English
  • Français

Signal Metrics

Published online by Cambridge University Press:  20 November 2018

William F. Darsow
William F. Darsow*
Affiliation:
Illinois Institute of Technology
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The purpose of this paper is to introduce a generalization of metric space that arises naturally out of the notion of signal function as it occurs, for example, in (5). In §§ 2-5, the basic definitions and motivation are given. In §§ 6 and 7 several elementary topological properties are proved, and in §§ 8 and 9 an important example from special relativity is developed.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 19 , 1967 , pp. 28 - 39
Copyright
Copyright © Canadian Mathematical Society 1967

References

1. Arens, R., Topologies for homeomorphism groups, Amer. J. Math., 68 (1946), 593–610.Google Scholar
2. Birkhoff, G., Lattice theory (New York, 1948).Google Scholar
3. Hewitt, E. and Ross, K., Abstract harmonic analysis (New York, 1963).Google Scholar
4. Kelley, J. L., General topology (Princeton, 1955).Google Scholar
5. Milne, E. A., Kinematic relativity (Oxford, 1948).Google Scholar
6. Noll, W., Euclidean geometry and Minkowskian chronometry, Amer. Math. Monthly, 71 (1964), 129–144.Google Scholar
7. Suppes, P., Axioms for relativistic kinematics with or without parity. Symposium on the axiomatic method (Amsterdam, 1959), pp. 291–307.Google Scholar
8. Walker, A. G., Axioms for cosmology. Symposium on the axiomatic method (Amsterdam, 1959), pp. 308–321.Google Scholar
9. Whitrow, G., The natural philosophy of time (London, 1961).Google Scholar