-
together with the rich
organisational structure hypothesised (so-called
functoriality). For example, in the work of Harish-Chandra one
finds the principle...
- In
algebraic topology, a
branch of mathematics, the (singular)
homology of a
topological space relative to a
subspace is a
construction in
singular homology...
-
fundamental groupoid instead of the
fundamental group, and this
construction is
functorial.
Algebra of
continuous functions A
contravariant functor from the category...
- implication. The
representing object C
above can be
shown to
depend functorially on F: any
natural transformation from F to
another functor satisfying...
- {\displaystyle p\colon T\to A} . The set of all T-valued
points of A
varies functorially with T,
giving rise to the "functor of points" of A;
according to the...
-
obtained by
Cogdell et al. (2004) as a
consequence of
their Langlands functorial lift. Drinfeld's
proof of the
global Langlands correspondence for GL(2)...
- ( Y ) , {\displaystyle V_{k}(X)\hookrightarrow V_{k}(Y),} and this is
functorial. More subtly,
given an n-dimensional
vector space X, the dual
basis construction...
- In
algebraic topology,
singular homology refers to the
study of a
certain set of
algebraic invariants of a
topological space X, the so-called homology...
-
construction of W′ is
functorial for
smooth morphisms to W and
embeddings of W into a
larger variety. (It
cannot be made
functorial for all (not necessarily...
- In mathematics,
specifically algebraic topology, an Eilenberg–MacLane
space is a
topological space with a
single nontrivial homotopy group. Let G be a...
