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The cell-like approximation theorem in dimension 5

Robert J. Daverman, Denise M. Halverson (2007)

Fundamenta Mathematicae

The cell-like approximation theorem of R. D. Edwards characterizes the n-manifolds precisely as the resolvable ENR homology n-manifolds with the disjoint disks property for 5 ≤ n < ∞. Since no proof for the n = 5 case has ever been published, we provide the missing details about the proof of the cell-like approximation theorem in dimension 5.

Tritangent planes to toroidal knots.

A. Montesinos Amilibia (1991)

Revista Matemática de la Universidad Complutense de Madrid

A proof is given that, with the only exception of (3,2), all toroidal knots in R3 obtained in the standard way by stereographic projection of knots in S3 have tritangent planes.

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