A Characterization of Continuity Revisited

It is well known that a function f : R ... R is continuous if and only if the image of every compact set under f is compact and the image of every connected set is connected. We show that there exist two 2...-dimensional linear spaces of nowhere continuous functions that (except for the zero functio...

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Veröffentlicht in:	The American mathematical monthly 2011-02, Vol.118 (2), p.1
Hauptverfasser:	Gámez-Merino, José L, Muñoz-Fernández, Gustavo A, Seoane-Sepúlveda, Juan B
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematical functions Mathematical problems Set theory
Online-Zugang:	Volltext
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