Stallings-Zeeman Theorem
المؤلف:
Milnor, J
المصدر:
The Poincaré Conjecture." https://www.claymath.org/millennium/Poincare_Conjecture/Official_Problem_Description.pdf.
الجزء والصفحة:
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13-7-2021
1742
Stallings-Zeeman Theorem
If 
is a finite simplicial complex of dimension 
that has the homotopy type of the sphere 
and is locally piecewise linearly homeomorphic to the Euclidean space 
, then 
is homeomorphic to 
under a homeomorphism which is piecewise linear except at a single point. In other words, the complement 
is piecewise linearly homeomorphic to 
(Milnor).
REFERENCES:
Milnor, J. "The Poincaré Conjecture." https://www.claymath.org/millennium/Poincare_Conjecture/Official_Problem_Description.pdf.
Stallings, J. "The Piecewise-Linear Structure of Euclidean Space." Proc. Cambridge Philos. Soc. 58, 481-488, 1962.
Zeeman, E. C. "The Generalised Poincaré Conjecture." Bull. Amer. Math. Soc. 67, 270, 1961.
Zeeman, E. C. "The Poincaré Conjecture for 
." In Topology of 3-Manifolds and Related Topics, Proceedings of the University of Georgia Institute, 1961. Englewood Cliffs, NJ: Prentice-Hall, pp. 198-204, 1961.
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