Remarks about connected spaces


Krzysztof Ciesielski

Questions Answers Gen. Topology 10 (1992), 181-185

The main result of the paper generalize Kuratowski's Theorem

if X is a connected space, a subset K of X is connected, and S is a component of X\K then X\S is connected

to the case when K has finite number of components and S consists of finite number of either components or quasi components of X\K. Some examples are also discussed.

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Last modified May 2, 1999.