A note on Saleh's paper ‘Almost continuity implies closure continuity’†
Glasgow mathematical journal, Tome 40 (1998) no. 3, p. 473
Voir la notice de l'article provenant de la source Cambridge University Press
Recently, Saleh [3] claimed to have solved ‘a long standing open question’ in topology; namely, he proved that every almost continuous function is clousure continuous (= θ = continuous). Unforunately, this problem was settled long time ago and even a better result is known. Consider the following implications: Cont. ⇒ Almost cont. ⇒ Almost α-cont.⇒ η-cont. ⇒.θ-cont. ⇒ Weakley cont.
Dontchev, Julian; Noiri, Takashi. A note on Saleh's paper ‘Almost continuity implies closure continuity’†. Glasgow mathematical journal, Tome 40 (1998) no. 3, p. 473. doi: 10.1017/S0017089500032808
@article{10_1017_S0017089500032808,
author = {Dontchev, Julian and Noiri, Takashi},
title = {A note on {Saleh's} paper {{\textquoteleft}Almost} continuity implies closure continuity{\textquoteright}{\textdagger}},
journal = {Glasgow mathematical journal},
pages = {473--473},
year = {1998},
volume = {40},
number = {3},
doi = {10.1017/S0017089500032808},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500032808/}
}
TY - JOUR AU - Dontchev, Julian AU - Noiri, Takashi TI - A note on Saleh's paper ‘Almost continuity implies closure continuity’† JO - Glasgow mathematical journal PY - 1998 SP - 473 EP - 473 VL - 40 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500032808/ DO - 10.1017/S0017089500032808 ID - 10_1017_S0017089500032808 ER -
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[1] 1.Dickman, R.F. Jr, Porter, J.R. and Rubin, L.R., Completely regular absolutes and projective objects, Pacific J. Math., 94 (1981), 277–295. Google Scholar | DOI
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[3] 3.Seleh, M., Almost continuity implies closure continuity, Glasgow Math. J., 40 (1998), 263–264. Google Scholar | DOI
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