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1985/1986 ON COMPOSITIONS WITH CONNECTED FUNCTIONS
Jack Ceder
Real Anal. Exchange 11(2): 380-389 (1985/1986). DOI: 10.2307/44151754

Abstract

The main results are: Firstly, for any two surjections, f and g, of a real interval there exist connected surjections α and β such that a α(f(x))=g(β(x)) for all x. Secondly, there exists a pair of connected functions whose composition is not connected, mod the continuum hypothesis.

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Jack Ceder. "ON COMPOSITIONS WITH CONNECTED FUNCTIONS." Real Anal. Exchange 11 (2) 380 - 389, 1985/1986. https://doi.org/10.2307/44151754

Information

Published: 1985/1986
First available in Project Euclid: 13 April 2022

Digital Object Identifier: 10.2307/44151754

Rights: Copyright © 1985 Michigan State University Press

Vol.11 • No. 2 • 1985/1986
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