Journal of Formalized Mathematics
Volume 8, 1996
University of Bialystok
Copyright (c) 1996
Association of Mizar Users
Some Topological Properties of Cells in $R^2$

Yatsuka Nakamura

Shinshu University, Nagano

Andrzej Trybulec

Warsaw University, Bialystok
Summary.

We examine the topological property of cells (rectangles) in
a plane. First, some Fraenkel expressions of cells are shown. Second,
it is proved that cells are closed. The last theorem asserts that
the closure of the interior of a cell is the same as itself.
MML Identifier:
GOBRD11
The terminology and notation used in this paper have been
introduced in the following articles
[14]
[15]
[5]
[8]
[2]
[1]
[13]
[3]
[6]
[7]
[16]
[12]
[4]
[9]
[10]
[11]
Contents (PDF format)
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The Euclidean space.
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Agata Darmochwal and Yatsuka Nakamura.
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 [10]
Yatsuka Nakamura and Andrzej Trybulec.
Decomposing a GoBoard into cells.
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 [11]
Yatsuka Nakamura and Andrzej Trybulec.
Components and unions of components.
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 [12]
Beata Padlewska.
Connected spaces.
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 [13]
Beata Padlewska and Agata Darmochwal.
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 [14]
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 [16]
Miroslaw Wysocki and Agata Darmochwal.
Subsets of topological spaces.
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1, 1989.
Received July 22, 1996
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