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On insertion of a continuous function


Author: M. Powderly
Journal: Proc. Amer. Math. Soc. 81 (1981), 119-120
MSC: Primary 54C30; Secondary 54C05
DOI: https://doi.org/10.1090/S0002-9939-1981-0589151-7
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.


References [Enhancements On Off] (What's this?)

  • [1] E. P. Lane, Insertion of a continuous function, Pacific J. Math. 66 (1976), 181-190. MR 0474186 (57:13833)
  • [2] J. Blatter and G. L. Seever, Interposition and lattice cones of functions, Trans. Amer. Math. Soc. 22 (1976), 65-96. MR 0438094 (55:11013)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0589151-7
Keywords: Insertion of continuous functions, interposition of continuous functions
Article copyright: © Copyright 1981 American Mathematical Society

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