On classification of spaces of continuous S -valued functions on polihydrons
In this paper, the spaces of continuous S -valued functions C p (X, S ) are considered. It is proved that if X is a n-dimensional polihydron and S is a circle which is considered as a topological group, then the topological group C p (X,S ) is topologically isomorphic to C p (Δ n, S ), where Δ n, where Δ n is an n-dimensional simplex, n ≥ 1.
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Keywords
пространство непрерывных функций, топология поточечной сходимости, полиэдр, топологическая группа, изоморфизм, almost ring, topological almost module, continuous homomorphism, space of continuous functions, polihydron, isomorphismAuthors
| Name | Organization | |
| Gulko Sergey P. | Tomsk State University | gulko@math.tsu.ru |
| Titova Anastasiya V. | Tomsk State University | asya_mis@mail.ru |
References
Борсук К. Теория ретрактов. М.: Мир, 1971. 291 с.
Титова А.В. Линейные гомеоморфизмы топологических почти модулей непрерывных функций и совпадение размерностей // Вестник Томского государственного университета. Математика и механика. 2014. № 4(30). С. 43-48.
On classification of spaces of continuous S -valued functions on polihydrons | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2015. № 4(36).
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