摘要
Ⅰ. INTRODUCTION The concepts of semi-homeomorphisms and semi-topological properties were introduced by S. G. Crossley in 1972. Since then, a series of papers concerning them have been published. In this note we shall discuss the structure of the class[(?)] consisting of all topologies on a set X which has the same semi-open sets as (X, (?)). At first, we shall give two new constructural forms of the finest topology in [(?)].