Completed spaces of partial maps homeomorphic to $Q$-manifolds (in Russian) |
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| Author |
Department of Mechanics and Mathematics, Lviv University, Universytetska
1, Lviv, 290602, Ukraine
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| Abstract |
A description of topology is given of the space of partial maps defined on compact convex
subsets of a domain in the euclidean space.
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| Keywords |
topology, space of partial maps, compact convex subsets
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| DOI |
doi:10.30970/ms.2.1.91-93
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Reference |
1. Федорчук В.В., Филиппов В.В. Общая топология. Основные конструкции.– М.: МГУ, 1988.–251с.
2. Montejano L. The hyperspace of compact convex subsets of an open subset of $\Bbb R^n$ // Bull. Pol. Acad. Sci. Math. 1987. V.35, N.11--12. P.793-799. 3. Ткач О.Й. Про тополог1pt-1pt iю поповненого простору часткових функцхй з опуклими областями визначення // Вiсн. Львiв. ун-ту. Сер. мех.-мат. 1992, вип. 34. 4. Чепмен Т. Лекции о $Q$-многообразиях.--М.: Мир, 1981.--156 с. 5. Лейхтвейс К. Выпуклые множества.-М.: Наука, 1985.–335 с. 6. Fedorchuk V.V. Completions of functional spaces and multivalned mapping // Zb. rad. fil. fak. Nisu. Ser. mat. 1990. T.4. P.3-5. 7. Toru\'nczyk H. On CE-images of the Hilbert cube and characterization of $Q$-manifolds // Fund. Math. 1980. T.106, N.1. P.31--40. Department of Mechanics and Mathematics, Lviv University, Universytetska 1, Lviv, 290602, Ukraine |
| Pages |
91-93
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| Volume |
2
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| Issue |
1
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| Year |
1993
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |