The role of counterexamples in understanding the closed graph and composition theorems

We present 2 theorems and 20 counterexamples illustrating the surprising behaviour of functions between metric spaces.

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Bibliographic Details
Main Authors:	Jürgen Appell, Simon Reinwand
Format:	Article
Language:	English
Published:	Elsevier 2025-06-01
Series:	Examples and Counterexamples
Subjects:	Open maps Closed maps Closed graph theorem Oscillation functions Absolutely continuous functions Baire class one functions
Online Access:	http://www.sciencedirect.com/science/article/pii/S2666657X25000047
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