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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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/942 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| Summary: | 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. |
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