-
being called a
homotopy (/həˈmɒtəpiː/, hə-MO-tə-pee; /ˈhoʊmoʊˌtoʊpiː/, HOH-moh-toh-pee)
between the two functions. A
notable use of
homotopy is the definition...
- In mathematics,
homotopy groups are used in
algebraic topology to
classify topological spaces. The
first and
simplest homotopy group is the fundamental...
- In mathematics, the
homotopy principle (or h-principle) is a very
general way to
solve partial differential equations (PDEs), and more
generally partial...
-
branch of mathematics, a
homotopy sphere is an n-manifold that is
homotopy equivalent to the n-sphere. It thus has the same
homotopy groups and the same homology...
- In mathematics,
homotopy theory is a
systematic study of
situations in
which maps can come with
homotopies between them. It
originated as a
topic in algebraic...
- In the
mathematical field of
algebraic topology, the
homotopy groups of
spheres describe how
spheres of
various dimensions can wrap
around each other....
- is the
first and
simplest homotopy group. The
fundamental group is a
homotopy invariant—topological
spaces that are
homotopy equivalent (or the stronger...
- of topology, a
regular homotopy refers to a
special kind of
homotopy between immersions of one
manifold in another. The
homotopy must be a 1-parameter...
- In
mathematical logic and
computer science,
homotopy type
theory (HoTT)
refers to
various lines of
development of
intuitionistic type theory,
based on...
- com****tional
method used in
numerical algebraic geometry is
homotopy continuation, in
which a
homotopy is
formed between two
polynomial systems, and the isolated...
