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Deforming p. l.
homeomorphisms on a convex polygonal 2-disk
Chung-Wu Ho |
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Vol. 55 (1974), No. 2, 427–439
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Abstract |
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It is shown that for each p.l. homeomorphism f on a convex polygonal disk which is pointwise fixed on the boundary of the disk, there exists a triangulation K of the disk such that f may be obtained by successively moving the vertices of K (with the motion being extended linearly to each triangle of K) in a finite number of steps such that no triangles will be collapsed in the process of motion. An algebraic interpretation of this result is also given. |
Mathematical Subject Classification
Primary: 57C15
Secondary: 57A05
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Milestones
Received: 26 February 1974
Published: 1 December 1974
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Authors |
| Chung-Wu Ho | |
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