1. Introduction

   EditorialNotes Pages: 5 - 10

2. Terminology and foundational theorems for differential topology

   OriginalPaper Pages: 11 - 15

3. Filtrations

   OriginalPaper Pages: 16 - 23

4. Neighborhoods

   OriginalPaper Pages: 24 - 27

5. J. H. C. Whitehead’s concept: Simple homotopy type

   OriginalPaper Pages: 28 - 31

6. Triangulations and filtrations of differentiable manifolds

   OriginalPaper Pages: 32 - 34

7. Removal of zero-dimensional intersections

   OriginalPaper Pages: 35 - 41

8. The nonstable neighborhood theorem

   OriginalPaper Pages: 42 - 55

9. Duality and the existence of differential cell filtrations for manifolds without boundary

   OriginalPaper Pages: 56 - 63

10. Oriented manifolds without boundary

    OriginalPaper Pages: 64 - 74

11. The stable theory

    OriginalPaper Pages: 75 - 89

12. The mapping cylinder lemma

    OriginalPaper Pages: 90 - 93