On a Topology Between T-alpha and T-gamma alpha
Apstrakt
Using the topology T-gamma in a topological space (X, T) , a new class of generalized open sets called Gamma-preopen sets, is introduced and studied. This class generates a new topology T-g which is larger than T-alpha and smaller than T-gamma alpha. By means of the corresponding interior and closure operators, among other results, necessary and sufficient conditions are given for T-g to coincide with T-alpha, T-gamma or T-gamma alpha .
Ključne reči:
alpha-set / preopen set / Gamma-preopen set / topology T-gamma / topology T-gIzvor:
Filomat, 2019, 33, 10, 3209-3221Izdavač:
- Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš
DOI: 10.2298/FIL1910209A
ISSN: 0354-5180
WoS: 000499105400021
Scopus: 2-s2.0-85079461359
Institucija/grupa
Poljoprivredni fakultetTY - JOUR AU - Andrijević, Dimitrije PY - 2019 UR - http://aspace.agrif.bg.ac.rs/handle/123456789/5001 AB - Using the topology T-gamma in a topological space (X, T) , a new class of generalized open sets called Gamma-preopen sets, is introduced and studied. This class generates a new topology T-g which is larger than T-alpha and smaller than T-gamma alpha. By means of the corresponding interior and closure operators, among other results, necessary and sufficient conditions are given for T-g to coincide with T-alpha, T-gamma or T-gamma alpha . PB - Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš T2 - Filomat T1 - On a Topology Between T-alpha and T-gamma alpha EP - 3221 IS - 10 SP - 3209 VL - 33 DO - 10.2298/FIL1910209A ER -
@article{ author = "Andrijević, Dimitrije", year = "2019", abstract = "Using the topology T-gamma in a topological space (X, T) , a new class of generalized open sets called Gamma-preopen sets, is introduced and studied. This class generates a new topology T-g which is larger than T-alpha and smaller than T-gamma alpha. By means of the corresponding interior and closure operators, among other results, necessary and sufficient conditions are given for T-g to coincide with T-alpha, T-gamma or T-gamma alpha .", publisher = "Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš", journal = "Filomat", title = "On a Topology Between T-alpha and T-gamma alpha", pages = "3221-3209", number = "10", volume = "33", doi = "10.2298/FIL1910209A" }
Andrijević, D.. (2019). On a Topology Between T-alpha and T-gamma alpha. in Filomat Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš., 33(10), 3209-3221. https://doi.org/10.2298/FIL1910209A
Andrijević D. On a Topology Between T-alpha and T-gamma alpha. in Filomat. 2019;33(10):3209-3221. doi:10.2298/FIL1910209A .
Andrijević, Dimitrije, "On a Topology Between T-alpha and T-gamma alpha" in Filomat, 33, no. 10 (2019):3209-3221, https://doi.org/10.2298/FIL1910209A . .