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Start Over Author "Alam, M. Sohaib" Publisher michigan state university press
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1. Quasicontinuous Functions with Everywhere Discontinuous Iterates

Author

Crannell, Annalisa and Alam, M. Sohaib

Subjects
54C08, quasicontinuity, iteration, quasicontinuous function, 54H20
Abstract

This paper gives examples of two quasicontinuous functions whose second iterates are discontinuous everywhere. It is well-known that every quasicontinuous function has a dense---indeed, residual---set of points of continuity; our counter-examples show that this property does not hold for compositions of such functions.

Published
2007

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