by   Martin Kovár, Alena Chernikava

Framework is an algebraic structure whose purpose is capturing the topological or topology-like structure of a system from its externally observed properties. Formally, framework is a formal context whose incidence relation is the membership relation. The objects are called places and the attributes are collections of places connected by a possible presence of some physical object, e.g., a particle. The set of attributes is called a framology. The structure may be used, for example, for investigation of topological properties of certain causal structures, motivated by quantum gravity, interactions of particles, Feynman diagrams, information systems and databases or solutions of certain differential equations and their global properties. A topological space (X, τ) is called an open model for a framework (P, π) if there exists a framework (S, σ) and a subset X' ⊂ X such that S ⊂ τ and σ={{A | A ∈ S, x ∈ A} | x ∈ X' }. The closed model of a framework with respect to a topological space is defined analogously, for more detail, the reader is referred to [1]. Our application Topological Models checks if the original framework is correctly defined by the input and then it generates the set of all open and closed models of the framework with respect to a given topological space.