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

DOI

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
@article{10_4153_CMB_1978_081_3,
     author = {Rose, David Alon},
     title = {On {Levine's} {Decomposition} of {Continuity}},
     journal = {Canadian mathematical bulletin},
     pages = {477--481},
     year = {1978},
     volume = {21},
     number = {4},
     doi = {10.4153/CMB-1978-081-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-081-3/}
}
TY  - JOUR
AU  - Rose, David Alon
TI  - On Levine′s Decomposition of Continuity
JO  - Canadian mathematical bulletin
PY  - 1978
SP  - 477
EP  - 481
VL  - 21
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-081-3/
DO  - 10.4153/CMB-1978-081-3
ID  - 10_4153_CMB_1978_081_3
ER  - 
%0 Journal Article
%A Rose, David Alon
%T On Levine′s Decomposition of Continuity
%J Canadian mathematical bulletin
%D 1978
%P 477-481
%V 21
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-081-3/
%R 10.4153/CMB-1978-081-3
%F 10_4153_CMB_1978_081_3

Cité par Sources :