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Просмотр материалаАвтор: | Karimov, U.H. | Заглавие: | A construction of noncontractible simply connected cell-like two-dimensional Peano continua | Название издания: | Fundamenta Mathematicae | Год: | 2007 | Номер издания: | 195 | Ключевые слова: | peano continuum,
acyclicity,
cell-like set,
noncontractible compactum,
cone-like space | Аннотация: | Using the topologist sine curve we present a new functorial construction of cone-like spaces, starting in the category of all path-connected topological spaces with a base point and continuous maps, and ending in the subcategory of all simply connected spaces. If one starts from a noncontractible n-dimensional Peano continuum for any n > 0, then our construction yields a simply connected noncontractible (n + 1)-dimensional cell-like Peano continuum. In particular, starting from the circle S1, one gets a noncontractible simply connected cell-like 2-dimensional Peano continuum. | Язык: | Английский | | | Коллекция: | Статьи |
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