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  • ...that {{M|\mathbb{RP}^2\times[0,1)}} has {{M|\mathbb{RP}^2}} as a [[strong deformation retraction]] (by slowly "projecting down" along {{M|[0,1)}}), and thus: ...rly [[contractible]], and {{M|\mathbb{B}^3-\{0\} }} [[strongly deformation retracts]] to the [[2-sphere]] which has trivial fundamental group (easily seen as a
    8 KB (1,299 words) - 13:33, 15 March 2017
  • #REDIRECT [[Example:The Möbius band strongly deformation retracts onto its core circle]]
    148 B (20 words) - 10:20, 22 April 2017
  • ...etracts to the (n-1) sphere|{{M|\mathbb{R}^n-\{0\} }} strongly deformation retracts to {{M|\mathbb{S}^{n-1} }}]], which means {{M|\mathbb{R}^n-\{0\} }} and {{M ...to the (n-1) sphere|{{M|\bar{\mathbb{B} }^n-\{0\} }} strongly deformation retracts to {{M|\mathbb{S}^{n-1} }}]], which means {{M|\bar{\mathbb{B} }^n-\{0\} }}
    4 KB (601 words) - 16:10, 24 April 2017
  • Be aware that if {{M|X}} is contractible then each point is a [[deformation retraction]] of {{M|X}} certainly (this is in fact an equivalent statement, * However each point need not be a [[strong deformation retract|''strong'' deformation retract]]
    3 KB (544 words) - 20:00, 24 April 2017