Geodesic
A Characterization of Real almost Continuous Functions
Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 361-364

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

The main purpose of this note is to give a characterization of almost continuous functions similar to that of approximately continuous functions ([3], §235, p. 312). The characterization of approximately continuous real functions has been used to show that each approximately continuous function is almost continuous ([4], §6). Thus combining these results we see that the classes of almost continuous, approximately continuous and continuous functions form a descending chain. 
Husain, T.; Dwivedi, T. D. A Characterization of Real almost Continuous Functions. Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 361-364. doi: 10.4153/CMB-1967-033-6
@article{10_4153_CMB_1967_033_6,
     author = {Husain, T. and Dwivedi, T. D.},
     title = {A {Characterization} of {Real} almost {Continuous} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {361--364},
     year = {1967},
     volume = {10},
     number = {3},
     doi = {10.4153/CMB-1967-033-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-033-6/}
}
TY  - JOUR
AU  - Husain, T.
AU  - Dwivedi, T. D.
TI  - A Characterization of Real almost Continuous Functions
JO  - Canadian mathematical bulletin
PY  - 1967
SP  - 361
EP  - 364
VL  - 10
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-033-6/
DO  - 10.4153/CMB-1967-033-6
ID  - 10_4153_CMB_1967_033_6
ER  - 
%0 Journal Article
%A Husain, T.
%A Dwivedi, T. D.
%T A Characterization of Real almost Continuous Functions
%J Canadian mathematical bulletin
%D 1967
%P 361-364
%V 10
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-033-6/
%R 10.4153/CMB-1967-033-6
%F 10_4153_CMB_1967_033_6

[1] 1. Dwivedi, T. D., A characterization theorem for almost continuous functions. Master′ s Thesis, University of Ottawa. Google Scholar

[2] 2. Goffman, C., Real Functions. Reinhart and Company, Inc. 1953. Google Scholar

[3] 3. Hobson, E. W., The Theory of Functions of a Real Variable. Vol. I. Dover, New York, 1957. Google Scholar

[4] 4. Husain, T., B(T)-Spaces and the Closed Graph Theorem. Math. Ann. 153 (1966), 293-298 Google Scholar

Cité par Sources :