Journal of Formalized Mathematics
Volume 1, 1989
University of Bialystok
Copyright (c) 1989
Association of Mizar Users
Connected Spaces

Beata Padlewska

Warsaw University, Bialystok

Supported by RPBP.III24.C1.
Summary.

The following notions are defined: separated sets, connected spaces,
connected sets, components of a topological space,
the component of a point.
The definition of the boundary of a set is also included.
The singleton of a point of a topological space is redefined as a subset
of the space.
Some theorems about these notions are proved.
The terminology and notation used in this paper have been
introduced in the following articles
[3]
[4]
[1]
[2]
[5]
Contents (PDF format)
Bibliography
 [1]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
 [2]
Beata Padlewska and Agata Darmochwal.
Topological spaces and continuous functions.
Journal of Formalized Mathematics,
1, 1989.
 [3]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [4]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
 [5]
Miroslaw Wysocki and Agata Darmochwal.
Subsets of topological spaces.
Journal of Formalized Mathematics,
1, 1989.
Received May 6, 1989
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