topological object
1Topological data analysis — is a new area of study aimed at having applications in areas such as data mining and computer vision. The main problems are (1) how one infers high dimensionalstructure from low dimensional representations; and (2) how one assembles discrete… …
2Topological map — Topological tube map of the London Underground In cartography and geology, a topological map is one that has been simplified so that only vital information remains and unnecessary detail has been removed. These maps lack scale, and distance and… …
3Topological sorting — Dependency resolution redirects here. For other uses, see Dependency (disambiguation). In computer science, a topological sort or topological ordering of a directed graph is a linear ordering of its vertices such that, for every edge uv, u comes… …
4Topological group — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product …
5Topological vector space — In mathematics, a topological vector space is one of the basic structures investigated in functional analysis. As the name suggests the space blends a topological structure (a uniform structure to be precise) with the algebraic concept of a… …
6Topological quantum field theory — A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.Although TQFTs were invented by physicists (notably Edward Witten), they are primarily of mathematical… …
7Topological K-theory — In mathematics, topological K theory is a branch of algebraic topology. It was founded to study vector bundles on general topological spaces, by means of ideas now recognised as (general) K theory that were introduced by Alexander Grothendieck.… …
8Topological dynamics — In mathematics, topological dynamics is a branch of the theory of dynamical systems in which qualitative, or asymptotic properties of dynamical systems are studied from the viewpoint of general topology. The central object of study in topological …
9Object-centered high-level reference ontology — The Object Centered High level REference ontology (OCHRE) is an upper ontology (top level ontology, or foundation ontology), a formal ontological framework whose purpose is to describe very general concepts that are the same across all knowledge… …
10Category of topological spaces — In mathematics, the category of topological spaces, often denoted Top, is the category whose objects are topological spaces and whose morphisms are continuous maps. This is a category because the composition of two continuous maps is again… …
