The dunce hat and a minimal non-extendably collapsible 3-ball

Details The dunce hat and a minimal non-extendably collapsible 3-ball The dunce hat and a minimal non-extendably collapsible 3-ball

2009-12-18

arxiv.org/abs/0912.3723v1

Mathematics

Algebraic Topology

7 pages, 7 figures, submitted to Electronic Geometry Models

Scientific paper

We show that the simplicial polytopal Gruenbaum-Sreedharan 3-sphere No. 32 with 8 vertices and 19 tetrahedra contains a triangulation D of the dunce hat in its 2-skeleton and is vertex-minimal with respect to this property. From the sphere No. 32, seven tetrahedra can be removed to yield a shellable 3-ball B, which is collapsible, but not extendably collapsible, as D is still contained in the 2-skeleton of B. Via a Schlegel diagram of the polytopal Gruenbaum-Sreedharan 3-sphere No. 32, we obtain a geometric realization of the 8-vertex dunce hat D in Euclidean 3-space.

Affiliated with

Also associated with

No associations

Rating

The dunce hat and a minimal non-extendably collapsible 3-ball does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The dunce hat and a minimal non-extendably collapsible 3-ball, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The dunce hat and a minimal non-extendably collapsible 3-ball will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-350003