-
fundamental groupoid instead of the
fundamental group, and this
construction is
functorial.
Algebra of
continuous functions A
contravariant functor from the category...
-
together with its rich
organisational structure hypothesised (so-called
functoriality). Harish-Chandra's work
exploited the
principle that what can be done...
- {\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...
-
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,
deformation theory is the
study of
infinitesimal conditions ****ociated with
varying a
solution P of a
problem to
slightly different solutions...
- ISBN 978-1-139-64396-2.
Seminal papers Lawvere, F.W. (November 1963). "
Functorial Semantics of
Algebraic Theories".
Proceedings of the
National Academy...
-
topology of ⋃ C {\displaystyle \bigcup C} . A
functorial nerve theorem is a
nerve theorem that is
functorial in an
approriate sense,
which is, for example...
- is that the
operation of
taking the dual
vector space is
functorial.
There are many
functorial operations which can be
performed on
pairs of
vector spaces...
-
Phrased in the
language of
category theory,
homological algebra studies the
functorial properties of
various constructions of
chain complexes and of the homology...
- ( 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...
