Geodesic
Pointwise convergence fails to be strict
Czechoslovak Mathematical Journal, Tome 48 (1998) no. 2, pp. 313-320.

Voir la notice de l'article dans Czech Digital Mathematics Library

It is known that the ring B(R) of all Baire functions carrying the pointwise convergence yields a sequential completion of the ring C(R) of all continuous functions. We investigate various sequential convergences related to the pointwise convergence and the process of completion of C(R). In particular, we prove that the pointwise convergence fails to be strict and prove the existence of the categorical ring completion of C(R) which differs from B(R).
Classification : 46E25, 54A05, 54C30, 54C35 
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     author = {Bors{\'\i}k, J\'an and Fri\v{c}, Roman},
     title = {Pointwise convergence fails to be strict},
     journal = {Czechoslovak Mathematical Journal},
     pages = {313--320},
     publisher = {mathdoc},
     volume = {48},
     number = {2},
     year = {1998},
     mrnumber = {1624327},
     zbl = {0954.46015},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/CMJ_1998__48_2_a7/}
}
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Borsík, Ján; Frič, Roman. Pointwise convergence fails to be strict. Czechoslovak Mathematical Journal, Tome 48 (1998) no. 2, pp. 313-320. https://geodesic-test.mathdoc.fr/item/CMJ_1998__48_2_a7/