The impossibility of filling $E^n$ with arcs
Stephen L. Jones
Source: Bull. Amer. Math. Soc. Volume 74, Number 1
(1968), 155-159.
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Permanent link to this document: http://projecteuclid.org/euclid.bams/1183529403
Mathematical Reviews number (MathSciNet): MR0222867
Zentralblatt MATH identifier: 0171.21604
References
1. J. H. Roberts, Collections filling a plane, Duke Math. J. 2 (1936), 10-19.
Zentralblatt MATH: 0015.08104
Mathematical Reviews (MathSciNet): MR1545902
Digital Object Identifier: doi:10.1215/S0012-7094-36-00202-8
Project Euclid: euclid.dmj/1077489337
2. L. B. Treybig, Concerning upper semicontinuous decompositions of En whose nondegenerate elements are polyhedral arcs or starlike continua, (to appear).
Zentralblatt MATH: 0179.28103
3. Summary of Lectures and Seminars, Summer Institute on Set Theoretic Topology, Univ. of Wisconsin, Madison, Wisconsin, 1955, p. 105.
Bulletin of the American Mathematical Society