On monomorphic topological functors with finite supports

We prove that a monomorphic functor $F:\mathbf{Comp}\to\mathbf{Comp}$ with finite supports is epimorphic, continuous, and its maximal  $\varnothing$-modification $F^\circ$ preserves intersections. This implies that a monomorphic functor $F:\mathbf{Comp}\to\mathbf{Comp}$ of finite degree $\deg F\le n...

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Bibliographic Details
Main Authors: T.O. Banakh, M.V. Martynenko, M.M. Zarichnyi
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2012-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/3676