-
continuous functions from one
topological space to
another are
called homotopic (from
Ancient Gr****: ὁμός homós 'same, similar' and τόπος tópos 'place')...
- 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...
- applies. This includes,
among other lines of work, the
construction of
homotopical and higher-categorical
models for such type theories; the use of type...
-
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...
- In biology,
homotopic connectivity is the
connectivity between mirror areas of the
human brain hemispheres.
Changes in the
homotopic connectivity occur...
- heterotopic,
homotopic, enantiotopic, or diastereotopic.
Homotopic groups in a
chemical compound are
equivalent groups. Two
groups A and B are
homotopic if the...
-
category theory, a
branch of mathematics, an ∞-groupoid is an
abstract homotopical model for
topological spaces. One
model uses Kan
complexes which are...
- Rejzner, and
Christoph Schweigert [de] at
Oberwolfach for the 2016 mini-workshop New
Interactions between Homotopical Algebra and
Quantum Field Theory...
-
Textbooks in Mathematics, (2008). Brown, Ronald; Loday, Jean-Louis (1987). "
Homotopical excision and
Hurewicz theorems for n-cubes of spaces".
Proceedings of...