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=32407
Deformation retract. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Deformation_retract&oldid=32407
This article was adapted from an original article by E.G. Sklyarenko (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article