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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On insertion of a continuous function


Author: M. Powderly
Journal: Proc. Amer. Math. Soc. 81 (1981), 119-120
MSC: Primary 54C30; Secondary 54C05
MathSciNet review: 589151
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Abstract: Recently E. P. Lane proved that if space $ X$ has the weak $ {\mathbf{C}}$-insertion property and satisfies another condition, then $ X$ has the strong $ {\mathbf{C}}$-insertion property. This paper establishes the converse of this result.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1981-0589151-7
PII: S 0002-9939(1981)0589151-7
Keywords: Insertion of continuous functions, interposition of continuous functions
Article copyright: © Copyright 1981 American Mathematical Society