论文信息 - The Piecewise-Linear Structure of Euclidean Space

The Piecewise-Linear Structure of Euclidean Space

It is known that, for n ≤3, ‘ought to have’ can truthfully be replaced by ‘has’ (see (4), and (5), Cor. 6·6). In this paper, this conjecture will be proved for n ≥ 5. The only unsolved case then will be in dimension four.

J. Stallings

[1] E. C. Zeeman,et al. On Contractible Open Manifolds , 1962, Mathematical Proceedings of the Cambridge Philosophical Society.

[2] J. Munkres. Obstructions to the smoothing of piecewise-differentiable homeomorphisms , 1959 .

[3] P. Olum. Non-Abelian Cohomology and Van Kampen's Theorem , 1958 .

[4] Edwin E. Moise,et al. Affine structures in 3-manifolds, V, The triangulation theorem and Hauptvermutung , 1952 .

[5] E. Specker. Die erste Cohomologiegruppe von Überlagerungen und Homotopie-Eigenschaften dreidimensionaler Mannigfaltigkeiten , 1949 .

[6] J. Whitehead. On C 1 -Complexes , 1940 .

[7] M. Newman. On the Superposition of n‐Dimensional Manifolds , 1926 .

[8] V. Gugenheim. Piecewise Linear Isotopy and Embedding of Elements and Spheres (II) , 1953 .

[9] J. Whitehead. Simplicial Spaces, Nuclei and m‐Groups , 1939 .