A note on the Sorgenfrey line
Апстракт
In this paper, by using Cantor’s principle of nested intervals, we give a new and simple proof that the Sorgenfrey line is a topological space of the second Baire category. One application of this result in asymptotic analysis is also given.
Кључне речи:
Sorgenfrey line / lower semicontinuous function / Baire spaceИзвор:
Filomat, 2001, 15, 211-213Издавач:
- Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Aranđelović, Ivan PY - 2001 UR - https://machinery.mas.bg.ac.rs/handle/123456789/233 AB - In this paper, by using Cantor’s principle of nested intervals, we give a new and simple proof that the Sorgenfrey line is a topological space of the second Baire category. One application of this result in asymptotic analysis is also given. PB - Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš T2 - Filomat T1 - A note on the Sorgenfrey line EP - 213 IS - 15 SP - 211 UR - https://hdl.handle.net/21.15107/rcub_machinery_233 ER -
@article{ author = "Aranđelović, Ivan", year = "2001", abstract = "In this paper, by using Cantor’s principle of nested intervals, we give a new and simple proof that the Sorgenfrey line is a topological space of the second Baire category. One application of this result in asymptotic analysis is also given.", publisher = "Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš", journal = "Filomat", title = "A note on the Sorgenfrey line", pages = "213-211", number = "15", url = "https://hdl.handle.net/21.15107/rcub_machinery_233" }
Aranđelović, I.. (2001). A note on the Sorgenfrey line. in Filomat Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš.(15), 211-213. https://hdl.handle.net/21.15107/rcub_machinery_233
Aranđelović I. A note on the Sorgenfrey line. in Filomat. 2001;(15):211-213. https://hdl.handle.net/21.15107/rcub_machinery_233 .
Aranđelović, Ivan, "A note on the Sorgenfrey line" in Filomat, no. 15 (2001):211-213, https://hdl.handle.net/21.15107/rcub_machinery_233 .