Singular Links of Almost Metastable Dimensions

The objects studied are singular links of spheres of dimensions p₁,..., p_r, and p in the n-sphere. A theory of such singular links for the case where max{p₁,..., p_r} < min{2n/3 − 1, n − (p + 5)/3} is constructed. The theory generalizes (as far as it is possible) the theory of singular links of spheres of dimensions k,..., k, and p in the (2k + 1)-sphere, where k > 1, developed in the author's recent papers. Bibliography: 13 titles. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 299, 2003, pp. 287–294.