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

Contents (PDF format)

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