论文信息 - Fans and Ladders in Small Cancellation Theory

Fans and Ladders in Small Cancellation Theory

This paper provides a strengthening of the theorems of small cancellation theory. It is proven that disc diagrams contain ‘fans’ of consecutive 2-cells along their boundaries. The size of these fans is linked to the strength of the the small cancellation conditions satisfied by the diagram. A classification result is proven for disc diagrams satisfying small cancellation conditions. Any disc diagram either contains three fans along its boundary, or it is a ladder, or it is a wheel. Similar statements are proven for annular diagrams.

Daniel T. Wise | D. Wise | Jonathan P. McCammond | Jon McCammond

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