In mathematics, the universal bundle in the theory of fiber bundles with structure group a given topological group G, is a specific bundle over a classifying space BG, such that every bundle with the given structure group G over M is a pullback by means of a continuous map M → BG.
mathematics, the universalbundle in the theory of fiber bundles with structure group a given topological group G, is a specific bundle over a classifying...
dual of the tautological bundle under this map is L. In this way, projective space acquires a universal property. The universal way to determine a map to...
tautological bundle is known as the tautological line bundle. The tautological bundle is also called the universalbundle since any vector bundle (over a compact...
projective bundle is a fiber bundle whose fibers are projective spaces. By definition, a scheme X over a Noetherian scheme S is a Pn-bundle if it is locally...
mathematics, a pullback bundle or induced bundle is the fiber bundle that is induced by a map of its base-space. Given a fiber bundle π : E → B and a continuous...
isomorphism of bundles, and = is given by pulling-back the distinguished bundle E G {\displaystyle EG} on B G {\displaystyle BG} (called universalbundle) along...
from M to the classifying space such that the bundle V is equal to the pullback, by f, of a universalbundle over the classifying space, and the Chern classes...
In mathematics, a principal bundle is a mathematical object that formalizes some of the essential features of the Cartesian product X × G {\displaystyle...
What is being claimed is that π has a universal property amongst principal C-bundles; that any principal C-bundle in a definite way 'comes from' π. A more...
Left bundle branch block (LBBB) is a conduction abnormality in the heart that can be seen on an electrocardiogram (ECG). In this condition, activation...
Grassmann bundle comes with natural vector bundles on it; namely, there are universal or tautological subbundle S and universal quotient bundle Q that fit...
{\displaystyle G} is compact, let E G {\displaystyle EG} denote the universalbundle, which we can assume to be a manifold since G {\displaystyle G} is...
fact is that each principal G-bundle over a space S is (up to natural isomorphisms) the pullback of a universalbundle E G → B G {\displaystyle EG\to...
characteristic zero. In terms of this definition, the Poincaré bundle, a universal line bundle can be defined on A × Â. The construction when K has characteristic...
reform" that "bundles all social policy measures into a single instrument, the basic income paid out unconditionally." He also considers a universal basic income...
that the action is guaranteed to be free. To this end, construct the universalbundle EG → BG for G and recall that EG admits a free G-action. Then the product...
that arising from the edge maps in the Serre spectral sequence of the universalbundle G → E G → B G {\displaystyle G\to EG\to BG} , and the subspace P ^...
Iwasawa decomposition, both groups are circle bundles over the complex upper half-plane, and their universal cover S L 2 ( ~ R ) {\displaystyle {\mathrm...
define the Hodge bundle, let π : C g → M g {\displaystyle \pi \colon {\mathcal {C}}_{g}\rightarrow {\mathcal {M}}_{g}} be the universal algebraic curve...
"most general" algebra containing V, in the sense of the corresponding universal property (see below). The tensor algebra is important because many other...
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