TITLE:
A Note on Kuratowski’s Theorem and Its Related Topics
AUTHORS:
K. P. Shum
KEYWORDS:
Kuratowski 14-Set, Kuratowski’s Theorem
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.7 No.8,
August
3,
2017
ABSTRACT: 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.