Journal of Formalized Mathematics
Volume 14, 2002
University of Bialystok
Copyright (c) 2002 Association of Mizar Users

The Ordering of Points on a Curve. Part IV


Artur Kornilowicz
University of Bialystok

This work has been partially supported by CALCULEMUS grant HPRN-CT-2000-00102.

MML Identifier: JORDAN18

The terminology and notation used in this paper have been introduced in the following articles [20] [23] [24] [3] [4] [1] [21] [22] [13] [14] [19] [7] [18] [6] [11] [15] [2] [8] [9] [5] [10] [17] [12] [16]

Contents (PDF format)

  1. Preliminaries
  2. Two Special Points on a Simple Closed Curve
  3. An Order of Points on a Simple Closed Curve

Bibliography

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[11] Stanislawa Kanas, Adam Lecko, and Mariusz Startek. Metric spaces. Journal of Formalized Mathematics, 2, 1990.
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[13] Jaroslaw Kotowicz. Convergent real sequences. Upper and lower bound of sets of real numbers. Journal of Formalized Mathematics, 1, 1989.
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[15] Yatsuka Nakamura and Czeslaw Bylinski. Extremal properties of vertices on special polygons, part I. Journal of Formalized Mathematics, 6, 1994.
[16] Yatsuka Nakamura and Andrzej Trybulec. A decomposition of simple closed curves and the order of their points. Journal of Formalized Mathematics, 9, 1997.
[17] Yatsuka Nakamura, Andrzej Trybulec, and Czeslaw Bylinski. Bounded domains and unbounded domains. Journal of Formalized Mathematics, 11, 1999.
[18] Beata Padlewska. Connected spaces. Journal of Formalized Mathematics, 1, 1989.
[19] Beata Padlewska and Agata Darmochwal. Topological spaces and continuous functions. Journal of Formalized Mathematics, 1, 1989.
[20] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[21] Andrzej Trybulec. Subsets of real numbers. Journal of Formalized Mathematics, Addenda, 2003.
[22] Andrzej Trybulec and Czeslaw Bylinski. Some properties of real numbers operations: min, max, square, and square root. Journal of Formalized Mathematics, 1, 1989.
[23] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.
[24] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

Received September 16, 2002

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