-
being called a
homotopy (/həˈmɒtəpiː/ hə-MOT-ə-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 the
mathematical field of
algebraic topology, the
homotopy groups of
spheres describe how
spheres of
various dimensions can wrap
around each other....
- 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
mathematical logic and
computer science,
homotopy type
theory (HoTT)
refers to
various lines of
development of
intuitionistic type theory,
based on...
-
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...
- is the
first and
simplest homotopy group. The
fundamental group is a
homotopy invariant—topological
spaces that are
homotopy equivalent (or the stronger...
- In mathematics, the
homotopy category is a
category built from the
category of
topological spaces which in a
sense identifies two
spaces that have the...
- In mathematics,
especially homotopy theory, the
homotopy fiber (sometimes
called the
mapping fiber) is part of a
construction that ****ociates a fibration...
-
category theory, a
branch of mathematics, Grothendieck's
homotopy hypothesis states,
homotopy theory speaking, that the ∞-groupoids are spaces. One version...
