Journal of Formalized Mathematics
Volume 12, 2000
University of Bialystok
Copyright (c) 2000 Association of Mizar Users

## Some Lemmas for the Jordan Curve Theorem

Andrzej Trybulec
University of Bialystok

### Summary.

I present some miscellaneous simple facts that are still missing in the library. The only common feature is that, most of them, were needed as lemmas in the proof of the Jordan curve theorem.

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

#### MML Identifier: JCT_MISC

The terminology and notation used in this paper have been introduced in the following articles [18] [6] [23] [19] [24] [4] [25] [5] [3] [2] [21] [8] [1] [16] [13] [22] [12] [10] [9] [17] [15] [20] [7] [11] [14]

#### Contents (PDF format)

1. Preliminaries
2. Topological Properties of Sets of Real Numbers

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