Generalized transversality theorem for Cr mapping F(u,s):M×S→N is established in infinite dimensional Banach manifolds M, S, N. If the mapping F (u, s) is generalized transversal to a single point set {θ}, and fs(u) = F (u, s) is a Fredholm operator in the sense of parameter s, then there exists a residual set Σ⊂ S, such that fs(u) are generalized transversal to {θ} , for all s∈Σ.
李强是沈阳航空航天大学的教授,在《Topol. Appl.》,《Hokkaido Math. J.》,《Discrete Cont. Dyn.》和《Acta Math. Sci.》等学术期刊上发表过关于奇点理论及其应用、偏微分方程分支理论、代数几何等方面的研究成果。