🪨 Becoming stiff 📐 Adding strict structure

rigidification

9.9

In mathematics, adding extra structure to an object so it has no symmetries left

noun
/ˌrɪdʒɪdɪfɪˈkeɪʃən/

Specialized

: rigidificación

In algebraic geometry, the rigidification of the moduli stack removes unwanted automorphisms for classification.

Examples

During the lecture she showed a diagram illustrating the rigidification that eliminated all nontrivial automorphisms.
They explained how adding level structure leads to a simpler rigidification of the parameter space.
The rigidification of the structure was essential for the stability of the model.
In algebraic geometry, rigidification helps simplify complex problems.
In algebraic geometry, the rigidification of the moduli stack removes unwanted automorphisms for classification.
They explained how adding level structure leads to a simpler rigidification of the parameter space.
During the lecture she showed a diagram illustrating the rigidification that eliminated all nontrivial automorphisms.

Synonyms

rigidifying

vsrigidification

8.6

A change that makes something stiff and hard so it cannot bend

is a mathematical process adding structure to remove symmetries and deformations

Antonyms

flexibility

37 3.0

Ability to bend or change shape without breaking

deformation

Specialized

7 5.9

A change in the shape of an object that makes it look or work worse

Surface Forms

rigidification singular

rigidifications plural

Morphology

rigidification = rigidify (semi-transparent) = rigid + ify + ation

Morphological formation from 'rigid' to 'rigidify' to '-ation' is regular and predictable, even when used in technical contexts.

Etymology

Rigidification in maths comes from rigid 'stiff' and -fication 'making', so it means 'making something fixed'. In math this idea is adding extra parts or rules so an object cannot be changed, which helps remove unwanted ways it could move or vary.