Idealization of some topological concepts.
Idempotents of compact monothetic semiclosure semigroups
Incidence structures and closure spaces
Independence in Klein spaces
Inequilogical spaces, directed homology and noncommutative geometry.
Initial topologies
Inserting measurable functions precisely
A family of subsets of a set is called a -topology if it is closed under arbitrary countable unions and arbitrary finite intersections. A -topology is perfect if any its member (open set) is a countable union of complements of open sets. In this paper perfect -topologies are characterized in terms of inserting lower and upper measurable functions. This improves upon and extends a similar result concerning perfect topologies. Combining this characterization with a -topological version of Katětov-Tong...
Inverse systems and pretopological spaces