Normal functors in the coarse category

• Date: 2018
• Main Author: Frider, V.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: coarse space; coarse map; normal functor
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/942
• Journal Title: Algebra and Discrete Mathematics

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...