Abstract
Does the closure of a subset M of a topological space X possess property P, whenever X and the boundary of M have this property? We shall consider connectivity properties P with positive and negative answers to this question.
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References
A. Császár, General Topology (Budapest, 1978).
R. Engelking, General Topology (Warszawa, 1977).
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Bognár, M. On Some Variants of Connectedness. Acta Mathematica Hungarica 79, 117–122 (1998). https://doi.org/10.1023/A:1006561806310
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DOI: https://doi.org/10.1023/A:1006561806310