Deformation Retract
المؤلف:
Bredon, G. E.
المصدر:
Topology and Geometry. New York: Springer-Verlag, 1993.
الجزء والصفحة:
...
10-5-2021
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Deformation Retract
A subspace 
of 
is called a deformation retract of 
if there is a homotopy 
(called a retract) such that for all 
and 
,
1. 
,
2. 
, and
3. 
.
A tightening of the last condition gives a so-called strong deformation retract (Bredon 1993, pp. 45-46).
Note that a deformation retract is also a retract, because the homotopy 
defines a continuous map 
REFERENCES:
Bredon, G. E. Topology and Geometry. New York: Springer-Verlag, 1993.
Hatcher, A. Algebraic Topology. Cambridge, England: Cambridge University Press, 2001.
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