##plugins.themes.bootstrap3.article.sidebar##
##plugins.themes.bootstrap3.article.main##
Анотація
Досліджується геометрія нескінченних ітерованих гіперпросторів компактних max-плюс опуклих множин, їх поповнень та компактифікацій.
Ключові слова:
max-плюс опукла множина, гіперпростір, гільбертів куб
##plugins.themes.bootstrap3.article.details##
Як цитувати
Савченко, А., & Заричный, М. (2017). Трійки нескінченних ітерацій гіперпросторів max-плюс опуклих множин. Proceedings of the International Geometry Center, 9(2). https://doi.org/10.15673/tmgc.v9i2.278
Номер
Розділ
Статті
Посилання
1. C. Bessaga, A. Pe\l czy\'nski. Selected topics in infinite-dimensional topology.- Monografie Matematyczne, 58, Warsaw: PWN, 1975.
2. J. de Groot, Superextensions and supercompactness, Proc. I. Intern. Symp. on Extension Theory of Topological Structures and its Applications, VEB Deutscher Verlag Wiss., Berlin, 1967, 89--90.
3. V.V. Fedorchuk, Triples of infinite iterates of metrizable functors, Mathematics of the USSR-Izvestiya, 1991, 36:2, 411--433.
4. S. Gaubert, R. Katz, Max-Plus Convex Geometry. In: Relations and Kleene Algebra in Computer Science,
Volume 4136 of the series Lecture Notes in Computer Science, 192--206.
5. R.E. Mirzakhanyan, On infinite iterations of the functor of inclusion hyperspace, Vestn MGU. Mat., Mekh. 1988, No 6, 14--17.
6. R.E. Mirzakhanyan, On the functor of completed iterated inclusion hyperspace, Vestn MGU. Mat., Mekh. 1989. No 2, 75--77.
7. Ta Khac Cu, Direct limits which are Hilbert spaces, Acta Math. Vietnam. 14 (1989), no. 2, 67--73.
8. H. Torunczyk and J. West, A Hilbert space limit for the iterated hyperspace functor, Proc. Amer. Math. Soc. 89 (1983), 329-335.
9. A. M. Vershik, Theory of decreasing sequences of measurable partitions,
St. Petersburg Math. J.,
6(1994), No. 4, 705--761.
10. A. M. Vershik, Kantorovich Metric: Initial History and Little-Known Applications,
Journal of Mathematical Sciences, Volume 133, Issue 4, 2006, 1410--1417.
11. M.M. Zarichnyi, Iterated superextensions.- In: General topology. Moscow University Press, 167(1986), 45--59. (In Russian)
2. J. de Groot, Superextensions and supercompactness, Proc. I. Intern. Symp. on Extension Theory of Topological Structures and its Applications, VEB Deutscher Verlag Wiss., Berlin, 1967, 89--90.
3. V.V. Fedorchuk, Triples of infinite iterates of metrizable functors, Mathematics of the USSR-Izvestiya, 1991, 36:2, 411--433.
4. S. Gaubert, R. Katz, Max-Plus Convex Geometry. In: Relations and Kleene Algebra in Computer Science,
Volume 4136 of the series Lecture Notes in Computer Science, 192--206.
5. R.E. Mirzakhanyan, On infinite iterations of the functor of inclusion hyperspace, Vestn MGU. Mat., Mekh. 1988, No 6, 14--17.
6. R.E. Mirzakhanyan, On the functor of completed iterated inclusion hyperspace, Vestn MGU. Mat., Mekh. 1989. No 2, 75--77.
7. Ta Khac Cu, Direct limits which are Hilbert spaces, Acta Math. Vietnam. 14 (1989), no. 2, 67--73.
8. H. Torunczyk and J. West, A Hilbert space limit for the iterated hyperspace functor, Proc. Amer. Math. Soc. 89 (1983), 329-335.
9. A. M. Vershik, Theory of decreasing sequences of measurable partitions,
St. Petersburg Math. J.,
6(1994), No. 4, 705--761.
10. A. M. Vershik, Kantorovich Metric: Initial History and Little-Known Applications,
Journal of Mathematical Sciences, Volume 133, Issue 4, 2006, 1410--1417.
11. M.M. Zarichnyi, Iterated superextensions.- In: General topology. Moscow University Press, 167(1986), 45--59. (In Russian)