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The monodromy theory of differential equations, in the complex domain, around singularities, does however come into relation with the geometric theory. Roughly speaking, monodromy studies the way a covering map can degenerate, while singularity theory studies the way a manifold can degenerate; and these fields are linked.
René Frédéric Thom (French: [ʁəne tɔm]; 2 September 1923 – 25 October 2002) was a French mathematician, who received the Fields Medal in 1958.. He made his 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 educated general public for one aspect of this latter interest, his work ...
Singularitarianism can also be thought of as an orientation or an outlook that prefers the enhancement of human intelligence as a specific transhumanist goal instead of focusing on specific technologies such as A.I. [4] There are also definitions that identify a singularitarian as an activist or a friend of the concept of singularity, that is ...
Singularity theory journals (1 P) Pages in category "Singularity theory" The following 53 pages are in this category, out of 53 total. This list may not reflect ...
Wall's work since the mid-1970s has mostly been in singularity theory as developed by R. Thom, J. Milnor and V. Arnold, and especially concerns the classification of isolated singularities of differentiable maps and of algebraic varieties. He has written two research monographs on singularity theory, "The Geometry of Topological Stability ...
The concept and the term "singularity" were popularized by Vernor Vinge – first in 1983 (in an article that claimed that once humans create intelligences greater than their own, there will be a technological and social transition similar in some sense to "the knotted space-time at the center of a black hole", [10]) and later in his 1993 essay ...
Singularity (system theory), in dynamical and social systems, a context in which a small change can cause a large effect Gravitational singularity , in general relativity, a point in which gravity is so intense that spacetime itself becomes ill-defined
Singularitarianism is a movement defined by the belief that a technological singularity—the creation of superintelligence—will likely happen in the near future, and that deliberate action ought to be taken to ensure that the Singularity benefits humans.