proem

Engineering

3 years ago

Triangulations of $n$ -ball defy collapse, challenging mathematical norms.

Transactions of the American Mathematical Society

Piecewise Linear Critical Levels and Collapsing

C. Kearton, W. B. R. Lickorish

Paper Summary

Engineering

3 years ago

Triangulations of $n$ -ball defy collapse, challenging mathematical norms.

Transactions of the American Mathematical Society

Piecewise Linear Critical Levels and Collapsing

C. Kearton, W. B. R. Lickorish

Paper Summary

The article explores how collapsing and handle cancellation can be used in piecewise linear manifolds to study Morse theory for piecewise linear embeddings. The researchers show that for dimensions greater than 2, there are triangulations of the n-ball that cannot be collapsed using simplicial methods.