On generalized topologies arising from mappings
Апстракт
Given a mapping f : X -> X, we naturally associate to it a monotonic map gamma(f) : exp X -> exp X from the power set of X into itself, and thus inducing a generalized topology on X. Here, we investigate some properties of generalized topologies as defined by such a procedure.
Кључне речи:
product of generalized topologies / Generalized topologies / generalized neighborhood systemsИзвор:
Bulletin of the Iranian Mathematical Society, 2012, 38, 3, 553-565Финансирање / пројекти:
- Проблеми Нелинеарне анализе, Теорије оператора, Топологије и примене (RS-MESTD-Basic Research (BR or ON)-174025)
- Развој нових информационо-комуникационих технологија, коришћењем напредних математичких метода, са применама у медицини, телекомуникацијама, енергетици, заштитити националне баштине и образовању (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-44006)
- Апроксимација интегралних и диференцијалних оператора и примене (RS-MESTD-Basic Research (BR or ON)-174015)
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Pavlović, V. AU - Cvetković, Aleksandar PY - 2012 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1575 AB - Given a mapping f : X -> X, we naturally associate to it a monotonic map gamma(f) : exp X -> exp X from the power set of X into itself, and thus inducing a generalized topology on X. Here, we investigate some properties of generalized topologies as defined by such a procedure. T2 - Bulletin of the Iranian Mathematical Society T1 - On generalized topologies arising from mappings EP - 565 IS - 3 SP - 553 VL - 38 UR - https://hdl.handle.net/21.15107/rcub_machinery_1575 ER -
@article{ author = "Pavlović, V. and Cvetković, Aleksandar", year = "2012", abstract = "Given a mapping f : X -> X, we naturally associate to it a monotonic map gamma(f) : exp X -> exp X from the power set of X into itself, and thus inducing a generalized topology on X. Here, we investigate some properties of generalized topologies as defined by such a procedure.", journal = "Bulletin of the Iranian Mathematical Society", title = "On generalized topologies arising from mappings", pages = "565-553", number = "3", volume = "38", url = "https://hdl.handle.net/21.15107/rcub_machinery_1575" }
Pavlović, V.,& Cvetković, A.. (2012). On generalized topologies arising from mappings. in Bulletin of the Iranian Mathematical Society, 38(3), 553-565. https://hdl.handle.net/21.15107/rcub_machinery_1575
Pavlović V, Cvetković A. On generalized topologies arising from mappings. in Bulletin of the Iranian Mathematical Society. 2012;38(3):553-565. https://hdl.handle.net/21.15107/rcub_machinery_1575 .
Pavlović, V., Cvetković, Aleksandar, "On generalized topologies arising from mappings" in Bulletin of the Iranian Mathematical Society, 38, no. 3 (2012):553-565, https://hdl.handle.net/21.15107/rcub_machinery_1575 .