STUDY ON TOPOLOGICAL SPACES WITH THE SEMI-T½SEPARATION AXIOM
Sang-Eon Han · Honam Mathematical Journal · 2013
The present paper consists of two parts. Since the recent paper [4] proved that an Alexandroff $T_0$ -space is a semi- $T_{\frac{1}{2}}$ -space, the first part studies semi-open and semi-closed structures of the Khalimsky nD space. The second one focuses on the study of a relation between the LS-property of ( $SC^{n_1,l_1}_{k_1}{\times}SC^{n_2,l_2}_{k_2}$ , k) relative to the simple closed $k_i$ -curves $SC^{n_i,l_i}_{k_i}$ , $i{\in}\{1,2\}$ and its normal k-adjacency. In addition, the present paper points out that the main theorems of Boxer and Karaca's paper [3] such as Theorems 4.4 and 4.7 of [3] cannot be new assertions. Indeed, instead they should be attributed to Theorems 4.3 and 4.5, and Example 4.6 of [10].