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Subject: правильный ли перевод? topol. The theme of my research work is a metrizable topological functors.Supervisor – T. Banakh A number of important structural topology and analysis is functorial. In 1981, a Moscow mathematician E. Shchepin summarized the properties of these constructions, introduced the notion of a normal functor in the category of compacta. This laid the foundation of the theory of topological functors. The theory of topological functors and are now actively developing many mathematical centers, in particular, in Lviv. One of the axioms of a normal functor is the preservation of metrizable compacta. Examples of metrizable functors is a functor hyperspace probability measures Superextension etc. However, for a number of important functors, such as functor O monotone functionals or functor E nonexpansive functionals their metrization problem remains open. The purpose of this research is to solve this set of issues, after which construction is expected metrization set of concrete and abstract functors. оригинал (Тема моей научной работы есть Метризуемость топологических функторов |
| пожалуйста, напишите хоть словечко - что не так)) |
| Что-то вопросы по функторам зачастили на форуме. Марта, что вы переводите? Это для вашей дипломной работы? |
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Metrizability of Topological Functors is the subject of my research. Supervisor – T. Banakh A number of important structures refering to topology and analysis has functional character. In 1981, Moscow mathematician E. Shchepin summarized properties of the above structures, and introduced definition of the standard functor into the category of compacta. This formed a foundation of the topological functors theory. Even now the theory of topological functors is being developed in many mathematical centers, particularly, in Lviv. One of the axioms of the standard functor is maintaining of compacta metrizability. Examples of metrizable functors are represented by the hyperspace, probability measures and superextension functors, etc. However metrization problem is still actual for a number of important functors, such as O functor of monotone functionals or E functor of nonexpansive functionals. The purpose of this research is to solve the above issues; then composition of metrization of a number of specified and abstract functors is expected. |
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Уважаемый sledpoyt! Если честно, то это мне нужно на экзамен (немного предложений о моей научной работе, и именно о функторах). На украинском и русском - проблем нету, а вот с англ. - прошу помощи у ВАС)) Большое спасибо всем!))) |
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also consider: Research Topic - Metrizable Topological Functors. A number of important structural topology and analysis CONSTRUCTIONS (?) are functorial. In 1981, E. Shchepin, a Moscow mathematician summarized the properties of these constructions AND introduced the notion of a normal functor in the category of compacta, WHICH laid the foundation of the topological functor theory. PRESENTLY, THIS THEORY is UNDER active development IN many mathematical centers, INCLUDING Lviv (желательно дать названия организаций). One of the axioms of a normal functor is the preservation of metrizable compacta. Metrizable functors INCLUDE, AMONG OTHERS, hyperspace functors, probability measure FUNCTORS, AND superextension FUNTORS. However, THE METRIZATION ISSUE STILL EXISTS/REMAINS for a number of important functors, such as functor O monotone functionals, or functor E nonexpansive functionals. The purpose of this research is to solve THESE issues TO BE ABLE TO construct the metrization FOR A NUMBER of concrete and abstract functors. |
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Спасибо)) уважаемый sledopyt, metrizable -метризуемый, а у меня метризация топологических функторов, т.е., если я правильно понимаю, то - metrizability of topological functors. Или не так? Объясните, пожалуйста)) |
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yes, it was my oversight - "metrizability". Хотя, я не вникал в терминологию. Это на вашей ответственности. ) Надеюсь, такой термин существует. |
| ...Oh, merzitability...:-) |
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