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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
Extract
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.
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- Research Article
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- Copyright © Canadian Mathematical Society 1968
Footnotes
The work on this paper was partially supported by XSF Grant Number GP-6220.