Homotopic

Some articles on homotopic:

Homotopy - Formal Definition - Properties
... Continuous functions f and g are said to be homotopic if and only if there is a homotopy H taking f to g as described above ... Being homotopic is an equivalence relation on the set of all continuous functions from X to Y ... in the following sense if f1, g1 X → Y are homotopic, and f2, g2 Y → Z are homotopic, then their compositions f2 ∘ f1 and g2 ∘ g1 X → Z are also homotopic ...
Homotopy Equivalence - Null-homotopy
... A function f is said to be null-homotopic if it is homotopic to a constant function ... a map from the circle S1 is null-homotopic precisely when it can be extended to a map of the disc D2 ... is always a homotopy equivalence—is null-homotopic ...
Topicity - Homotopic
... Homotopic groups in a chemical compound are equivalent groups ... Two groups A and B are homotopic if the molecule remains the same (including stereochemically) when the groups are interchanged with the remaining parts of the molecule fixed ... Homotopic atoms are always identical, in any environment ...
Contractible Space
... if the identity map on X is null-homotopic, i.e ... if it is homotopic to some constant map ... the identity map is null-homotopic) ...
Homotopy Category Of Chain Complexes
... that is, we define an equivalence relation if f is homotopic to g and define to be the quotient by this relation ... taking the quotient by the subgroup of null-homotopic maps ... In detail, this means there is another map, such that the two compositions are homotopic to the identities and ...