Fullness of Maps
Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 375-376
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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.
Boyarsky, Abraham; Byers, William. Fullness of Maps. Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 375-376. doi: 10.4153/CMB-1982-055-5
@article{10_4153_CMB_1982_055_5,
author = {Boyarsky, Abraham and Byers, William},
title = {Fullness of {Maps}},
journal = {Canadian mathematical bulletin},
pages = {375--376},
year = {1982},
volume = {25},
number = {3},
doi = {10.4153/CMB-1982-055-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-055-5/}
}
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