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A Note on Kuratowski’s Theorem and Its Related Topics

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DOI: 10.4236/apm.2017.78025    298 Downloads   511 Views  
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In point set topology, it is well known that the Kuratowski 14-set problem is one of the most interesting results. In this note, we first give a brief survey of the Kuratowski’s theorem. In particular, we will study and investigate the structure of the boundary of a given subset in a topological space. Some new results and topics which are related to the theorem of Kuratowski are presented and discussed. Finally, we pose some open problems of Kuratowskitype.

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Shum, K. (2017) A Note on Kuratowski’s Theorem and Its Related Topics. Advances in Pure Mathematics, 7, 383-406. doi: 10.4236/apm.2017.78025.


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