...of addition and Jordan multiplication. This algebra is not the homomorphic image of any special algebra.
is a finite direct sum of simple Jordan algebras. If $ \overline{J} $
13 KB (1,800 words) - 19:51, 15 March 2023
...ndles (direct sums, tensor products, exterior degrees), and of the inverse image of a bundle. A second source of $ K $-theory is the connection with algeb
...es (complexes, cf. [[CW-complex|CW-complex]]). The definition of a $ K $-functor is extended to the category of pointed topological spaces and pairs of topo
17 KB (2,459 words) - 07:32, 26 February 2022
\textrm{ image } \textrm{ of } \
...the Gauss–Manin connection is expressed as a property of the direct image functor for a proper morphism. Combined with the formalism of [[Vanishing cycle|van
11 KB (1,657 words) - 11:55, 12 January 2021
...he unifying role of the notion of a category and the notion of a [[Functor|functor]] related to it for many branches of mathematics.
is called a covariant functor (cf. also [[Functor|Functor]]) if for each object $ A \in \mathop{\rm Ob} \mathfrak C $,
43 KB (6,447 words) - 09:17, 26 March 2023
is defined as any smooth (i.e. locally structured as a projection of a direct product with smooth factors) analytic mapping
the inverse image of this deformation under the mapping
41 KB (5,916 words) - 11:24, 26 March 2023
...n action of the symmetric group $\mathfrak{S}_r$ on $E ^{ \otimes r}$. The image of $K G$ in $\operatorname{End}_{K}( E ^ { \otimes r } )$ is the Schur alge
...linear characters of $T$. The module $\Delta ( \lambda )$ decomposes into direct sum of eigenspaces of the action of $T$, called weight spaces and for $\lam
33 KB (5,081 words) - 10:26, 11 November 2023
Topological objects formed under the direct influence of other domains of mathematics often have the following importan
...y of when a topological space from a given class can be represented as the image of a space from another given class under a continuous mapping of one kind
38 KB (5,626 words) - 17:15, 20 March 2018