- In mathematics,
homotopical algebra is a
collection of
concepts comprising the
nonabelian aspects of
homological algebra, and
possibly the
abelian aspects...
- topology,
homotopical connectivity is a
property describing a
topological space based on the
dimension of its holes. In general, low
homotopical connectivity...
- In biology,
homotopic connectivity is the
connectivity between mirror areas of the
human brain hemispheres.
Changes in the
homotopic connectivity occur...
-
continuous functions from one
topological space to
another are
called homotopic (from
Ancient Gr****: ὁμός homós "same, similar" and τόπος tópos "place")...
- as: We also say that f and g are
chain homotopic, or that f − g {\displaystyle f-g} is null-
homotopic or
homotopic to 0. It is
clear from the definition...
- heterotopic,
homotopic, enantiotopic, or diastereotopic.
Homotopic groups in a
chemical compound are
equivalent groups. Two
groups A and B are
homotopic if the...
-
first truly "
homotopical"
model of type theory,
albeit only "1-dimensional" (the
traditional models in the
category of sets
being homotopically 0-dimensional)...
-
space X is
contractible if the
identity map on X is null-
homotopic, i.e. if it is
homotopic to some
constant map. Intuitively, a
contractible space is...
- f_{*}:H_{n}(X)\rightarrow H_{n}(Y).} We now show that if f and g are
homotopically equivalent, then f* = g*. From this
follows that if f is a homotopy...
- the Korteweg-De
Vries (KdV) equation,
describing waves in water, has
homotopically distinct solutions. The
mechanism of Lax
pairs provided the
needed topological...
