-
continuous functions from one
topological space to
another are
called homotopic (from
Ancient Gr****: ὁμός homós "same, similar" and τόπος tópos "place")...
- topology,
homotopical connectivity is a
property describing a
topological space based on the
dimension of its holes. In general, low
homotopical connectivity...
- In mathematics,
homotopical algebra is a
collection of
concepts comprising the
nonabelian aspects of
homological algebra, and
possibly the
abelian aspects...
- heterotopic,
homotopic, enantiotopic, or diastereotopic.
Homotopic groups in a
chemical compound are
equivalent groups. Two
groups A and B are
homotopic if the...
- In biology,
homotopic connectivity is the
connectivity between mirror areas of the
human brain hemispheres.
Changes in the
homotopic connectivity occur...
- 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...
-
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...
-
stated in
theorem 2-1 as "
homotopic" and the
function H: [0, 1] × [0, 1] → U as "homotopy
between c0 and c1". However, "
homotopic" or "homotopy" in above-mentioned...
- for example, the
Whitehead link has
linking number 0, and thus is link
homotopic to the unlink, but it is not
isotopic to the unlink. The link
group is...
-
simplices of the domain, and (ii)
replacement of the
actual mapping by a
homotopic one. This
theorem was
first proved by L.E.J. Brouwer, by use of the Lebesgue...
