Deformation retract
From Encyclopedia of Mathematics
of a topological space
A subset with the following property: There exists a homotopy of the identity mapping of
to some mapping
under which all points of the set
remain fixed. If, under the homotopy, the points from
remain in
,
is known as a strong deformation retract. A deformation retract of a space
has the same homotopy type as does
. See also Retract; Retract of a topological space.
How to Cite This Entry:
Deformation retract. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Deformation_retract&oldid=15646
Deformation retract. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Deformation_retract&oldid=15646
This article was adapted from an original article by E.G. Sklyarenko (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article