Spectral sequences of cohomologies of singularities of \(C^ \infty\) mappings (Q1362869)

The author introduces two spectral sequences respectively for cohomologies \(H^p (\Omega^\bullet_{f,k-,0})\) and \(H^p (\Lambda^\bullet_{f,k-,0})\), where \(f:(\mathbb{R}^N,0) \to (\mathbb{R}, 0)\) is a \(C^\infty\) mapping and \(\dim_\mathbb{R} Q_f <\infty\). The main results are contained in Theorems 1, 2 and are connected with other papers of the author [Math. Ann. 262, 255-272 (1983; Zbl 0507.58013); Chin. Ann. Math., Ser. B 14, No. 4, 497-506 (1993; Zbl 0804.55006)].