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

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It is known that the ring $B(\mathbb R)$ of all Baire functions carrying the pointwise convergence yields a sequential completion of the ring $C(\mathbb R)$ of all continuous functions. We investigate various sequential convergences related to the pointwise convergence and the process of completion of $C(\mathbb R)$. In particular, we prove that the pointwise convergence fails to be strict and prove the existence of the categorical ring completion of $C(\mathbb R)$ which differs from $B(\mathbb R)$.
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/