Normal functors in the coarse category
We define the canonical coarse structure on the spaces of the form \(FX\), where \(F\) is a finitary normal functor of finite degree and show that every finitary (i.e., preserving the class of finite spaces) normal functor of finite degree in \(\mathbf{C}\mathbf{o}\mathbf{m}\mathbf{p}\) has its cou...
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| Дата: | 2018 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/942 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
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oai:ojs.admjournal.luguniv.edu.ua:article-9422018-03-21T06:49:56Z Normal functors in the coarse category Frider, V. coarse space, coarse map, normal functor We define the canonical coarse structure on the spaces of the form \(FX\), where \(F\) is a finitary normal functor of finite degree and show that every finitary (i.e., preserving the class of finite spaces) normal functor of finite degree in \(\mathbf{C}\mathbf{o}\mathbf{m}\mathbf{p}\) has its counterpart in the coarse category. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/942 Algebra and Discrete Mathematics; Vol 4, No 4 (2005) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/942/471 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
coarse space coarse map normal functor |
| spellingShingle |
coarse space coarse map normal functor Frider, V. Normal functors in the coarse category |
| topic_facet |
coarse space coarse map normal functor |
| format |
Article |
| author |
Frider, V. |
| author_facet |
Frider, V. |
| author_sort |
Frider, V. |
| title |
Normal functors in the coarse category |
| title_short |
Normal functors in the coarse category |
| title_full |
Normal functors in the coarse category |
| title_fullStr |
Normal functors in the coarse category |
| title_full_unstemmed |
Normal functors in the coarse category |
| title_sort |
normal functors in the coarse category |
| description |
We define the canonical coarse structure on the spaces of the form \(FX\), where \(F\) is a finitary normal functor of finite degree and show that every finitary (i.e., preserving the class of finite spaces) normal functor of finite degree in \(\mathbf{C}\mathbf{o}\mathbf{m}\mathbf{p}\) has its counterpart in the coarse category. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/942 |
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AT friderv normalfunctorsinthecoarsecategory |
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2024-04-12T06:26:23Z |
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2024-04-12T06:26:23Z |
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