The concept of an Intuitionistic Fuzzy Modal Topological Structure (IFMTS) or for brevity, Topology (IFMT), is introduced. It proved that the two standard intuitionistic fuzzy topological operators C and I, modal ? ? generate different IFMTs. Some basic properties both IFMTs are discussed. important These will be a basis next research on IFMTSs. Ideas future development IFMT theory formulated.

The context of this paper is the use of formal methods for topology-based geometric modelling. Topology-based geometric modelling deals with objects of various dimensions and shapes. Usually, objects are defined by a graph-based topological data structure and by an embedding that associates each topological element (vertex, edge, face, etc.) with relevant data as their geometric shape (position...

The title of this address might incline one to the notion that here is to be found a small number of large theorems. To the contrary, I shall talk about a large number of small theorems. Actually, there does not exist a t this time any corpus of information to which the title "structure of topological semigroups" is in any fashion applicable. Whether such a body of theorems will ever exist is a...