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Fullness of Maps

Published online by Cambridge University Press:  20 November 2018

Abraham Boyarsky  and
William Byers
Abraham Boyarsky
Affiliation:
Department of Mathematics, Sir George Williams Campus Concordia University, Montreal, Canada
William Byers
Affiliation:
Department of Mathematics, Sir George Williams Campus Concordia University, Montreal, Canada
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Abstract

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An example is given of a surjective map τ: [0,1] → [0,1] which takes every interval of [0,1] onto [0,1] eventually, but does not do so for certain other sets of positive measure.

Keywords

26A1828D05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 3 , 01 September 1982 , pp. 375 - 376
Copyright
Copyright © Canadian Mathematical Society 1982

References

1. Friedman, N. and Boyarsky, A., Irreducibility and primitivity using Markov maps, Linear Algebra and Appl., 37 (1981) 103-117.Google Scholar
2. Gelbaum, B. R. and Olmsted, J. N., Counterexamples in Analysis, Holden-Day, San Francisco, 1964.Google Scholar