Homotopy
label: Гомотопія @uk
label: Homotopia @pt
label: مثلية التوضع @ar
label: Ομοτοπία @el
label: ホモトピー @ja
label: Гомотопия @ru
label: Homotopio @eo
label: Homotopie @fr
label: 同倫 @zh
label: 호모토피 @ko
label: Homotopía @es
label: Omotopia @it
label: Homotopi @sv
subject: Category:Homotopy theory
subject: Category:Theory of continuous functions
subject: Category:Maps of manifolds
footer: The unknot is not equivalent to the trefoil knot since one cannot be deformed into the other through a continuous path of homeomorphisms of the ambient space. Thus they are not ambient-isotopic.
image: Blue Unknot.png
image: Blue Trefoil Knot.png
id: p/i052940
id: p/h047920
description: دگرشکلی پیوسته بین دو نگاشت پیوسته @fa
description: concepte en topologia algebraica @ca
description: eine stetige Deformation zwischen zwei Abbildungen von einem topologischen Raum in einen anderen @de
description: відношення еквівалентності, яке формалізує той факт, що два відображення з одного топологічного простору можуть безперервно переходити з одного в інший @uk
description: Гомотетия @ru
description: continuous deformation between two continuous maps
description: 兩個連續函數之間嘅連續變換 @yue
description: Espazio topologikoen arteko bi funtzioz esaten da, baldintza hau betetzen duen F funtzio jarraitu bat existitzen bada: F(x, 0) = ƒ(x) eta F(x, 1) = g(x). @eu
description: تشوه مستمر بين تطبيقين مستمرين @ar
description: Непрекидна деформација између две непрекидне функције @sr
description: concepto en en topología algebraica @es
description: ciągłe przekształcenie jednej funkcji ciągłej w drugą @pl
description: relation d'équivalence formalisant le fait, pour deux lacets, de pouvoir passer continûment de l'un à l'autre @fr
description: kontinua deformo inter du kontinuaj funkcioj @eo
description: 拓樸學中描述連續地形變的函數 @zh
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Cartesian_product
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Homotopy_group
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Deformation_retract
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Euclidean_space
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Deformation_retraction
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Knot_theory
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/3-sphere
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/CW_complex
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Origin_(mathematics)
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Multiply_connected
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Unit_disk
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Dimension
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Numerical_methods
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Eilenberg–MacLane_space
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Group_isomorphism
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Geometric_topology
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/N-sphere
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Numerical_continuation
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Fiber_bundle
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Subset
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Quotient_space_(topology)
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Homotopy_type_theory
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Trefoil_knot
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Lorentzian_manifold
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Homeomorphism
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Map_(mathematics)
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Closed_timelike_curve
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Vector_bundle
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Fibration
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Representable_functor
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Parameter
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Rotation
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Homotopy_groups
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Retraction_(topology)
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Continuous_function_(topology)
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Path_(topology)
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Ambient_isotopy
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Convex_set
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Timelike
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Homology_group
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Functor
wiki page wiki link: https://dbpedia-live.demo.openlinksw.com/resource/Unit_interval