In this paper we prove criteria of a \(C^{0}\) - \(\Omega\) -blowup in \(C^{1}\) -smooth skew products with aclosed set of periodic points on multidimensional cells and give examples of maps that admit such a \(\Omega\) -blowup.Our method is based on the study of the properties of the set of chain-recurrent points. We alsoprove that the set of weakly nonwandering points of maps under consideration coincides withthe chain-recurrent set, investigate the approximation (in the \(C^{0}\) -norm) and entropy propertiesof \(C^{1}\) -smooth skew products with a closed set of periodic points.
