Journal of Formalized Mathematics
Volume 3, 1991
University of Bialystok
Copyright (c) 1991 Association of Mizar Users

## The Topological Space \$\calE^2_\rmT\$. Simple Closed Curves

Agata Darmochwal
Warsaw University, Bialystok
Yatsuka Nakamura
Shinshu University, Nagano

### Summary.

Continuation of [7]. The fact that the unit square is compact is shown in the beginning of the article. Next the notion of simple closed curve is introduced. It is proved that any simple closed curve can be divided into two independent parts which are homeomorphic to unit interval \${\Bbb I}\$.

#### MML Identifier: TOPREAL2

The terminology and notation used in this paper have been introduced in the following articles [9] [10] [11] [2] [3] [8] [5] [4] [1] [6] [7]

Contents (PDF format)

#### Bibliography

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