Topology Proceedings Document # baag-13
topology proceedings
Electronic Version 18 (1993), 263-270

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Discountinuous closed Darboux functions

Harvey Rosen

A function f: X --> Y is Darboux (closed) if f(C) is connected (closed) for each connected (closed) subset C of X. Closed Darboux functions that are discontinuous are constructed. One such function is from the unit interval [0,1] onto a continuum Y.

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Copyright © 1997 Auburn University and Topology Atlas | Date published electronically: May 12, 1997