Geodesic
On Levine′s Decomposition of Continuity
Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 477-481

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

A strong version of Levine′s decomposition of continuity leads to the result that a closed graph weakly continuous function into a rim-compact space is continuous. This result implies a closed graph theorem: every almost continuous closed graph function into a strongly locally compact space is continuous. An open problem of Shwu-Yeng T. Lin and Y.-F. Lin asks if every almost continuous closed graph function from a Baire space to a second countable space is necessarily continuous. This question is answered in the negative by an example.
DOI : 10.4153/CMB-1978-081-3
Mots-clés : 54C10, 54C05, 54D45 
Rose, David Alon. On Levine′s Decomposition of Continuity. Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 477-481. doi: 10.4153/CMB-1978-081-3
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