spaces). The noun triviality usually refers to a simple technical aspect of some proof or definition. The origin of the term in mathematical language comes...

adjoint to G.) List of topologies Triviality (mathematics) Keegan Smith, "Adjoint Functors in Algebra, Topology and Mathematical Logic", August 8, 2008, p. 13...

Model of particle physics, the question of triviality in Higgs models is of great importance. This Higgs triviality is similar to the Landau pole problem in...

Office), an episode of The Office Triviality (mathematics), technical simplicity of some aspects of proofs Quantum triviality, a trait of classical theories...

also fails to convey any substantive information Triviality (mathematics) and degeneracy (mathematics) "Vacuously true". web.cse.ohio-state.edu. Archived...

bundle applies to many more categories in mathematics, at the expense of appropriately modifying the local triviality condition; cf. principal homogeneous...

homeomorphic, and in addition the bundle satisfies certain conditions of local triviality outlined in the pertaining linked articles, then the bundle is a fiber...

non-exactness of the global sections functor—or equivalently, to non-triviality of sheaf cohomology. The stalk F x {\displaystyle {\mathcal {F}}_{x}}...

hypercomputation". Applied Mathematics and Computation. 178 (1): 4–7. doi:10.1016/j.amc.2005.09.066. Godfrey-Smith, P. (2009), "Triviality Arguments against Functionalism"...

case when they occur in an exact sequence. Nildimensional space Triviality (mathematics) Examples of vector spaces Field with one element Empty semigroup...

Guozhen; Xu, Zhouli (2017). "The triviality of the 61-stem in the stable homotopy groups of spheres". Annals of Mathematics. 186 (2): 501–580. arXiv:1601...

related work, he also supplied a proof of Serre's conjecture about the triviality of algebraic vector bundles on affine space, which led to the Bass–Quillen...

examples of ancient Egyptian mathematics. It is one of two well-known mathematical papyri, along with the Moscow Mathematical Papyrus. The Rhind Papyrus...

opposite of skepticism. Paraconsistent logics may use "the law of non-triviality" to abstain from trivialism in logical practices that involve true contradictions...

Middle Ages portal Argumentation theory Balloon debate Discourse Law of triviality Narcissism of small differences Pedantry More precisely in play in the...

groups to abstract simplicial complexes. One of the assumptions is a non-triviality condition: If the building is an n‑dimensional abstract simplicial complex...

Lewis–Mogridge position Induced demand Iron triangle Jevons paradox Law of triviality List of eponymous laws Peter principle Planning fallacy Reference class...

Theory and Integral Lattices”). He also co-authored a book on quantum triviality. In 2020, he was elected international member of the National Academy...

correspond to a free field theory, the theory is said to exhibit quantum triviality, possessing what is called a Landau pole, as in quantum electrodynamics...

In the mathematical theory of probability, David Lewis's triviality result is a theorem about the impossibility of systematically equating the conditional...

{\displaystyle \{0\}} is a semiring called the trivial semiring. This triviality can be characterized via 0 = 1 {\displaystyle 0=1} and so when speaking...

and Triviality in Quantum Field Theory. Springer. ISBN 0-387-54358-9. Losada M (1999). "The complex dynamics of high performance teams". Mathematical and...

correspond to free field theory, the theory is said to exhibit quantum triviality. Numerous fixed points appear in the study of lattice Higgs theories,...

polynomial rings. In the geometric setting it is a statement about the triviality of vector bundles on affine space. The theorem states that every finitely...

determines exactly one line. Some authors add a "non-degeneracy" (or "non-triviality") axiom to the definition of a (partial) linear space, such as: There...

In mathematics, in particular algebraic geometry, a moduli space is a geometric space (usually a scheme or an algebraic stack) whose points represent...

to be reallocated to the other in a continuous way. Because the (non)triviality of the fundamental group is known to be invariant under homeomorphism...

either functionalism turns out to reduce to behaviorism, or to complete triviality and therefore a form of panpsychism. These arguments typically use the...

vector space by a(V, v) + b(V, w) = (V, av + bw). Finally, to see local triviality, given a point X in the Grassmannian, let U be the set of all V such that...

presence of contradictions in a theory or in a body of knowledge) and triviality (the fact that such a theory entails all possible consequences) are assumed...