Geodesic
A Regular Space on Which Every Real-Valued Function with a Closed Graph is Constant
Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 417-424

Voir la notice de l'article provenant de la source Cambridge University Press

An example is given of a regular space on which every real-valued function with a closed graph is constant. It was previously known that there are regular spaces on which every continuous function is constant. It is also shown here that there are regular spaces that support only constant real-valued continuous functions, but support non-constant real-valued functions with a closed graph.
DOI : 10.4153/CMB-1989-060-3
Mots-clés : 54C05, 54C10, 54C30, 54C50 
Baggs, Ivan. A Regular Space on Which Every Real-Valued Function with a Closed Graph is Constant. Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 417-424. doi: 10.4153/CMB-1989-060-3
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