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Concerning Upper Semi-Continuous Decompositions of En Whose Non-Degenerate Elements are Polyhedral Arcs or Star-Like Continua

Published online by Cambridge University Press:  20 November 2018

L. B. Treybig
L. B. Treybig*
Affiliation:
The Tulane University of Louisiana, New Orleans, Louisiana
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In (1) Armentrout raised the question “Is there a monotone decomposition of E3 into arcs?” The analogous question for E2 was answered negatively by Roberts in (8). Our aim in this paper is to give a partial answer to Armentrout's question by proving the following theorem.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 1308 - 1314
Copyright
Copyright © Canadian Mathematical Society 1968

Footnotes

The work on this paper was partially supported by XSF Grant Number GP-6220.

References

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