Uniformly Movable Categories and Uniform Movability of Topological Spaces

• Autorzy: P. S. Gevorgyan , I. Pop
• Języki publikacji: EN

Abstrakty

EN

A categorical generalization of the notion of movability from inverse systems and shape theory was given by the first author who defined the notion of movable category and used it to interpret the movability of topological spaces. In this paper the authors define the notion of uniformly movable category and prove that a topological space is uniformly movable in the sense of shape theory if and only if its comma category in the homotopy category HTop over the subcategory HPol of polyhedra is uniformly movable. This is a weakened version of the categorical notion of uniform movability introduced by the second author.

Kategorie tematyczne

• 55P55: Shape theory
• 54C56: Shape theory
• 18A25: Functor categories, comma categories

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: 55
• Numer: 3
• Strony: 229-242

Daty

wydano

2007

Twórcy

autor

P. S. Gevorgyan

• Department of Higher Mathematics, Moscow Power Engineering Institute (Technical University), Krasnokazarmennaya, 14, 111250 Moscow, Russia

autor

I. Pop

• Faculty of Mathematics, "Al. I. Cuza" University, 700505 Iaşi, Romania

Identyfikatory

DOI

10.4064/ba55-3-5