On the Components of the Complement of a Special Polygonal Curve

Andrzej Trybulec

University of Bialystok

The work had been done when the first author visited Nagano in fall of 1998.

Yatsuka Nakamura

Shinshu University, Nagano

Summary.

By the special polygonal curve we meana simple closed curve, that is a polygone and moreover has edges parallel to axes. We continue the formalization of the Takeuti-Nakamura proof [12] of the Jordan curve theorem. In the paper we prove that the complement of the special polygonal curve consists of at least two components. With the theorem which has at most two components we completed the theorem that a special polygonal curve cuts the plane into exactly two components.

MML Identifier: SPRECT_4

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Bibliography

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