The simple connectivity of links of singularities with one-dimensional critical locus (Q1183652)

This paper deals with the connectivity of the link for germs of analytic functions \(f: (\mathbb{C}^3,0)\to\mathbb{C}\) that have a special type of nonisolated singularities at \(0\in\mathbb{C}^3\) called by the author Morse 1-singularities (M1S). The main results of the paper are in connection with those contained in papers by \textit{J. Milnor} [Singular points of complex hypersurfaces. Princeton, N.J.: Princeton University Press (1968; Zbl 0184.48405)], \textit{D. Mumford} [Inst. Hautes Étud. Sci., Publ. Math. 9, 5--22 (1961; Zbl 0108.16801)], \textit{P. Orlik} and \textit{P. Wagreich} [Math. Ann. 193, 121--135 (1971; Zbl 0206.24003)], \textit{R. Randell} [Geometric Topology, Proc. Conf., Athens/Ga. 1977, 445--473 (1979; Zbl 0473.57007)] and \textit{D. Siersma} [Topology 30, No. 3, 445--469 (1991; Zbl 0746.32014)].