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This is a Quantitative Study study.

October 16, 20250 citationsOpen Access

Taut Fillings in Simplicial Triangulations of the 2-Sphere

Taut fillings of the 2-sphere

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The study shows how taut fillings arise from extending a triangulation, indicating potential principles for higher dimensions.

Any taut filling of a 2-sphere corresponds to an extended shellable triangulation of the 3-ball.
The key theorem demonstrates that taut fillings maintain the property of splitting under various unions.
Integral 2-cycles are filled by integral 3-chains that have minimal L1-norm, a critical measure of efficiency.
No conclusions can be drawn regarding optimal fillings for spheres in dimensions higher than three.

Doyle et al. (2025) studied this question.

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October 16, 20250 citationsOpen Access

Taut fillings of the 2-sphere

View Full Paper

Ask AI

Bookmark

Authors

The study shows how taut fillings arise from extending a triangulation, indicating potential principles for higher dimensions.

Any taut filling of a 2-sphere corresponds to an extended shellable triangulation of the 3-ball.
The key theorem demonstrates that taut fillings maintain the property of splitting under various unions.
Integral 2-cycles are filled by integral 3-chains that have minimal L1-norm, a critical measure of efficiency.
No conclusions can be drawn regarding optimal fillings for spheres in dimensions higher than three.

Doyle et al. (2025) studied this question.

View Full Paper

Ask AI

Bookmark