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Deformation retract
for all t in [0, 1], F is called a strong deformation retraction. In other words, a strong deformation ...
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is called a strong deformation retract of X if there is a homotopy F:X×I->X (called a retract) such that for all x in X , a in A , and t in I ,. 1. F(x,0)=x ,. 2. F(x,1) in A ...
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F(a,1)=a . 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, ...
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Jun 20, 2010 ... It seems an easy problem but I couldn't prove it. Let $M$ be a manifold with boundary and $N\subset \mathrm{int}(M)$ is a strong deformation ...
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May 11, 2008 ... Strong deformation retract. From Topospaces. Jump to: navigation, search. This article defines a property over pairs of a topological space and ...
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A deformation retract is called a strong deformation retract if condition 3 above is replaced by a stronger form: $Y$ is a retract of $X$ via $f_t$ for every $t\in [0 ...
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May 5, 2011 ... We have that any strong deformation retract is a deformation retract and any deformation retract is a retract (of course, by definition). Also, it is ...
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Making Wishes. We have seen how the idea of “strong deformation retraction” can be ... saying that X can be strong deformation retracted to any point we wish.
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Mar 12, 2011 ... Let σ be a simplex and τ be a face of σ with dimτ = dimσ − 1. A collapse is a strong deformation retract of σ onto ∂σ − intτ.
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orthogonal groups 0(2) and 0(3) are strong deformation retracts of the space of ... THEOREM 1. The rotation group SO(2) is a strong deformation retract ...
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