A product formula for cobcat and some calculations (Q1327661)

\textit{H. Singh} [Proc. Am. Math. Soc. 102, No. 1, 183-190 (1988; Zbl 0653.57024)] introduced the notion of cobordism category of manifolds. This notion has been extended to singular manifolds \((M^ n,f)\) in a space \(X\) by the authors in [Pac. J. Math. 155, No. 2, 215-227 (1992; Zbl 0770.55002)]. In this paper they show that if \((M^ n,f)\) and \((N^ n,g)\) are two singular manifolds in \(X\) and \(Y\) respectively then the cobordism category of the singular manifold \((M^ n \times N^ n,f \times g)\) in \(X \times Y\) is less than the cobordism category of \((N^ n,g)\). The paper ends with a calculation of the cobordism category of Dold manifolds.