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Trees of manifolds and boundaries of systolic groups

Paweł Zawiślak (2010)

Fundamenta Mathematicae

We prove that the Pontryagin sphere and the Pontryagin nonorientable surface occur as the Gromov boundary of a 7-systolic group acting geometrically on a 7-systolic normal pseudomanifold of dimension 3.

Trees of manifolds with boundary

Paweł Zawiślak (2015)

Colloquium Mathematicae

We introduce two new classes of compacta, called trees of manifolds with boundary and boundary trees of manifolds with boundary. We establish their basic properties.

Trimming.

Cooper, Daryl, Long, Darren D. (1998)

Experimental Mathematics

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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