In mathematics, singularity theory studies spaces that are almost manifolds, but not quite. A string can serve as an example of a one-dimensional manifold...

A gravitational singularity, spacetime singularity, or simply singularity, is a theoretical condition in which gravity is predicted to be so intense that...

System relatedness: the effects of a singularity are characteristic of the system. Uniqueness: The nature of a singularity does not arise from the scale of...

an algebraic variety. For singularities in differential geometry, see singularity theory. In real analysis, singularities are either discontinuities...

The initial singularity is a singularity predicted[dubious – discuss] by some models of the Big Bang theory to have existed before the Big Bang. The instant...

differential-geometric approach to hydrodynamics, geometric analysis and singularity theory, including posing the ADE classification problem. His first main result...

Look up Singularity or singularity in Wiktionary, the free dictionary. Singularity or singular point may refer to: Mathematical singularity, a point at...

general theory of relativity". A singularity in solutions of the Einstein field equations is one of three things: Spacelike singularities: The singularity lies...

fairly concrete constructions (see also the related theory simplicial homology). In brief, singular homology is constructed by taking maps of the standard...

tangent cone is not singular outside its vertex. Milnor map Resolution of singularities Singular point of a curve Singularity theory Smooth scheme Zariski...

The technological singularity—or simply the singularity—is a hypothetical point in time at which technological growth becomes uncontrollable and irreversible...

In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one associated...

theory is a branch of bifurcation theory in the study of dynamical systems; it is also a particular special case of more general singularity theory in...

{x} \}\times M\to \mathbb {R} } has degenerate singularity at some p. A function has degenerate singularity if both the Jacobian matrix of first order partial...

mathematics, canonical singularities appear as singularities of the canonical model of a projective variety, and terminal singularities are special cases that...

Val singularities. Elliptic singularity (Kollár & Mori 1998, Theorem 5.22.) (Artin 1966) Artin, Michael (1966), "On isolated rational singularities of...

founders of singularity theory, and did foundational work in manifolds, embeddings, immersions, characteristic classes and, geometric integration theory. Hassler...

does not is given by the isolated singularity of x2 + y3z + z3 = 0 at the origin. Blowing it up gives the singularity x2 + y2z + yz3 = 0. It is not immediately...

only the will of mankind as a whole. The concept of the technological singularity, or the ultra-rapid advent of superhuman intelligence, was first proposed...

type A2-singularity. Let f (x, y) be a smooth function of x and y and assume, for simplicity, that f (0, 0) = 0. Then a type A2-singularity of f at (0...

important in the field of singularity theory, as a simple local model of a pinch point singularity. The pinch point and the fold singularity are the only stable...

reputation as a topologist, moving on to aspects of what would be called singularity theory; he became world-famous among the wider academic community and the...

matrix theory Representation theory Ring theory Scheme theory Semigroup theory Set theory Shape theory Sheaf theory Sieve theory Singularity theory Soliton...

a Du Val singularity, also called simple surface singularity, Kleinian singularity, or rational double point, is an isolated singularity of a complex...

In mathematics, and in particular singularity theory, an Ak singularity, where k ≥ 0 is an integer, describes a level of degeneracy of a function. The...

measurements of the expansion rate of the universe place the Big Bang singularity at an estimated 13.787±0.02 billion years ago, which is considered the...

Spec ( − ) {\displaystyle {\text{Spec}}(-)} is the prime spectrum. Singularity theory Whitney conditions Stratifold Intersection homology Thom's first isotopy...

A ring singularity or ringularity is the gravitational singularity of a rotating black hole, or a Kerr black hole, that is shaped like a ring. When a...

the gravitational singularity that exists within the event horizon of a black hole. General relativity predicts that at the singularity, the curvature of...

polynomial transformations, say of the projective plane, came from the singularity theory for algebraic curves. During World War II he taught in a naval college...