Strong Movable Categories and Strong Movability of Topological Spaces
Pavel S. Gevorgyan, T. A. Avakyan
TL;DR
This paper explores the concept of strong movability in shape theory, providing a new categorical criterion for topological spaces that extends Borsuk's original ideas for metrizable compact spaces.
Contribution
It introduces a novel categorical criterion for strong movability applicable to general topological spaces, expanding the theoretical framework of shape theory.
Findings
New criterion for strong movability of topological spaces
Categorical approach to shape theory concepts
Extension of Borsuk's original movability ideas
Abstract
The paper is devoted to one of the important notions of the shape theory: that of strong movability, which was primarily introduced by K. Borsuk for metrizable compacts. A strong movability criterion is proved for topological spaces, which in particular reveals a new, categorical approach to the strong movability.
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