On monomorphic topological functors with finite supports

Autor:	Banakh, Taras, Martynenko, Marta, Zarichnyi, Michael
Rok vydání:	2010
Předmět:	Mathematics - Category Theory Mathematics - General Topology Mathematics - Geometric Topology 18B30 54B30 54C55
Zdroj:	Carpathian Math. Publ. 4:1 (2012) 4-12
Druh dokumentu:	Working Paper
Popis:	We prove that a monomorphic functor $F:Comp\to Comp$ with finite supports is epimorphic, continuous, and its maximal $\emptyset$-modification $F^\circ$ preserves intersections. This implies that a monomorphic functor $F:Comp\to Comp$ of finite degree $deg F\le n$ preserves (finite-dimensional) compact ANR's if the spaces $F\emptyset$, $F^\circ\emptyset$, and $Fn$ are finite-dimensional ANR's. This improves a known result of Basmanov. Comment: 6 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1004.0457 Zobrazit plný text záznamu View this record from Arxiv