1. Introduction and Mathematical Overview Part I: Properties of Specific DGL's 2. The DGL's Lk and I* 3. The DGL Mk 4. The Bockstein Spectral Sequence for Umk 5. The DGL Nkl Part II: Algebraic and Topological Preparations 6. Three Topological Tools 7. Coherent Sequences of Algebras 8. Stable Homotopy Operations under a Space Part III: Construction and Properties of 9. Statement of the Main Theorem 10. Stable Homotopy Operations under Dk 11. Generals Theory of CSL's 12. Construction of /3k and ak 13. Completion of the Proof Part IV: Applications and Conjectures 14. The Space 15. The Limit Space D^
