Journal of Formalized Mathematics
Volume 8, 1996
University of Bialystok
Copyright (c) 1996
Association of Mizar Users
The First Part of Jordan's Theorem for Special Polygons
-
Yatsuka Nakamura
-
Shinshu University, Nagano
-
Andrzej Trybulec
-
Warsaw University, Bialystok
Summary.
-
We prove here the first part of Jordan's theorem for special polygons, i.e.,
the complement of a special polygon is the union of two components (a left
component and a right component). At this stage, we do not know if
the two components are different from each other.
MML Identifier:
GOBRD12
The terminology and notation used in this paper have been
introduced in the following articles
[15]
[4]
[19]
[6]
[8]
[17]
[1]
[14]
[3]
[2]
[18]
[7]
[20]
[13]
[5]
[9]
[10]
[16]
[12]
[11]
Contents (PDF format)
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The Euclidean space.
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Yatsuka Nakamura and Andrzej Trybulec.
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Yatsuka Nakamura and Andrzej Trybulec.
Components and unions of components.
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Beata Padlewska.
Connected spaces.
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- [15]
Andrzej Trybulec.
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- [16]
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Left and right component of the complement of a special closed curve.
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- [17]
Andrzej Trybulec.
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- [18]
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Received July 22, 1996
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