Weak equivalence information

weak equivalence may refer to: Weak equivalence of categories Weak equivalence (homotopy theory) Weak equivalence (formal languages) Weak equivalence...

The equivalence principle is the hypothesis that the observed equivalence of gravitational and inertial mass is a consequence of nature. The weak form...

{\displaystyle \,<\,} is a strict weak ordering if and only if incomparability with respect to < {\displaystyle \,<\,} is an equivalence relation. Incomparability...

category with distinguished classes of morphisms ('arrows') called 'weak equivalences', 'fibrations' and 'cofibrations' satisfying certain axioms relating...

Bibcode:1985cta..book.....S. Krauss LM; Tremaine S (Mar 1988). "Test of the Weak Equivalence Principle for Neutrinos and Photons". Phys. Rev. Lett. 60 (3): 176–7...

circumstance, a functor with these properties is sometimes called a weak equivalence of categories. (Unfortunately this conflicts with terminology from...

In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive. The equipollence relation between line segments...

known as the equivalence principle. The particular equivalence often referred to as the "Galilean equivalence principle" or the "weak equivalence principle"...

π0(X) just means the set of path components of X.) A map f is a weak homotopy equivalence if the function f ∗ : π 0 ( X ) → π 0 ( Y ) {\displaystyle f_{*}\colon...

test the maximum allowable violation of the Weak Equivalence Principle. The first tests of the Weak Equivalence Principle were done by Eötvös before 1900...

K.; Raizen, M. G.; Quint, W. (2014). "An experimental test of the weak equivalence principle for antihydrogen at the future FLAIR facility". International...

equivalent if the resulting metric spaces share certain properties. Equivalence is a weaker notion than isometry; equivalent metrics do not have to be literally...

exactly one subset. Every equivalence relation on a set defines a partition of this set, and every partition defines an equivalence relation. A set equipped...

in C, the map F X , Y {\displaystyle F_{X,Y}} is a weak equivalence. Full subcategory Equivalence of categories Mac Lane (1971), p. 15 Jacobson (2009)...

cofibrations and weak equivalences. Typically one is interested in the underlying homotopy category obtained by localizing against the weak equivalences. A Quillen...

\asymp } if and only if they belong to the same equivalence class. These equivalence classes are the weak components of the given graph. The original definition...

, then s > 0 {\displaystyle s>0} . Overall, topological equivalence is a weaker equivalence criterion than topological conjugacy, as it does not require...

equivalent: f is a weak equivalence. f : p − 1 ( b ) → q − 1 ( b ) {\displaystyle f:p^{-1}(b)\to q^{-1}(b)} is a weak equivalence for some b in B. f :...

"homotopy category". One first defines a weak homotopy equivalence: a continuous map is called a weak homotopy equivalence if it induces a bijection on sets...

discussed under fifth force and weak equivalence principle. A version of the equivalence principle, called the strong equivalence principle, asserts that self-gravitation...

of weapon War emergency power, an engine mode for military aircraft Weak equivalence principle, in relativity theory West European Politics, a journal of...

another model structure with the same cofibrations but with more weak equivalences. Bousfield localization is named after Aldridge Bousfield, who first...

cofibrations and weak equivalences. One can define fibrations to be Kan fibrations. A map of simplicial sets is defined to be a weak equivalence if its geometric...