Some new classes in the stable homotopy groups of the Thom space MSTOP of stable universal topological bundle (Q1187874)

Let \(\varepsilon_ 3\) be the first tertiary characteristic class [cf. \textit{F. R. Cohen}, \textit{T. J. Lada} and \textit{J. P. May}, The homology of iterated loop spaces (Lect. Notes Math. 533) (1976; Zbl 0334.55009)]. The author shows that the class \(\varepsilon_ 3\) and its divided powers \(\gamma^ j_ p(\varepsilon_ 3)\) survive in the Adams spectral sequence, and determine a new family of non-zero elements in the stable homotopy groups of MSTOP --- the Thom space of stable universal topological microbundles.