Sanakirja
Tekoälykääntäjä
Kuvat 3
KieliKäännökset
italiaomotopia
portugalihomotopia
ranskahomotopie
suomihomotopia
tanskahomotopi
unkarihomotópia

Määritelmät

Substantiivi

  1. (topology) A continuous deformation of one continuous function or map to another.
  2. (uncountable) The relationship between two continuous functions where homotopy from one to the other is evident.
  3. (informal) Ellipsis of homotopy theory (“the systematic study of homotopies and their equivalence classes”).
  4. (topology) A theory associating a system of groups with each topological space.
  5. (topology) A system of groups associated with a topological space.

Taivutusmuodot

Monikkohomotopies

Luokat


(topology) A continuous deformation of one continuous function or map to another.

The two dashed paths shown above are homotopic relative to their endpoints. The animation represents one possible homotopy.

(topology) A continuous deformation of one continuous function or map to another.

A homotopy and its inverse, between two embeddings of the torus into R 3 {\displaystyle \mathbb {R} ^{3}} : as "the surface of a doughnut" and as "the surface of a coffee mug". This is also an example of an isotopy.

(topology) A continuous deformation of one continuous function or map to another.

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.