TY  - JOUR
T1  - γb-sets and γb-continuous functions
AU  - Kaymakcı, Aynur Keskin
PY  - 2016
DA  - April
DO  - 10.36753/mathenot.421343
JF  - Mathematical Sciences and Applications E-Notes
JO  - Math. Sci. Appl. E-Notes
PB  - Murat TOSUN
WT  - DergiPark
SN  - 2147-6268
SP  - 1
EP  - 5
VL  - 4
IS  - 1
LA  - en
AB  - First of all we introduce a new class of sets is called γb-sets and a new type of continuous functions iscalled γb-continuous functions. Then, we investigate some properties and characterizations. Besides,γb-sets and γb-continuity are used to extend known results for b-open sets and b-continuity.
KW  - γb-sets
KW  - b-open sets
KW  - γb-continuity
KW  - b-continuity
CR  - [1] Andrijevic, D., On b-open sets. Mat. Vesnik 48 (1996), 59-64.
CR  - [2] Crossley, S. G. and Hildebrand, S. K., Semi-topological properties. Fund. Math. 74 (1972), 233-254.
CR  - [3] Ekici, E. and Caldas, M., Slightly γ-continuous functions. Bol. Soc. Paran. Math. (3s) 22 (2004), no.2, 63-74.
CR  - [4] El-Atik, A. A., A study on some types of mappings on topological spaces. M. Sc. Thesis, Tanta University,
Egypt, 1997.
CR  - [5] Levine, N., Semi-open sets and semi-continuity in topological spaces. Amer. Math. Monthly 70 (1963), 36-41.
CR  - [6] Maheswari, S. N. and Thakur, S. S., On α-irresolute mappings. Tamkang J. Math. 11 (1980), 209-214.
CR  - [7] Mashhour, A. S., Abd El-Monsef, M. E. and El-Deeb, S. N., On precontinuous and weak precontinuous
mappings. Proc. Math. Phys. Soc. Egypt 53 (1982), 47-53.
CR  - [8] Mashhour, A. S., Hasanein, I. A. and El-Deeb, S. N., α-continuous and α-open mappings. Acta Math. Hungar. 41
(1983), no. 3-4, 213-218.
CR  - [9] Nijastad, O., On some classes of nearly open sets. Pacific J. Math. 15 (1965), no. 3, 961-970.
CR  - [10] Reilly, I. L. and Vamanamurthy, M. K., On α-continuity in topological spaces. Acta Math. Hungar. 45 (1985), no.
1-2, 27-32.
UR  - https://doi.org/10.36753/mathenot.421343
L1  - https://dergipark.org.tr/en/download/article-file/468474
ER  -