Normal functors in the coarse category

• Published in: Algebra and Discrete Mathematics
• Date: 2005
• Main Author: Frider, V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157339
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Normal functors in the coarse category / V. Frider // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 4. — С. 16–27. — Бібліогр.: 8 назв. — англ.

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 Comp has its counterpart in the coarse category.