A Note on Kuratowski’s Theorem and Its Related Topics ()
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.
Share and Cite:
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.