Skip to main content
manifoldness

manifoldness

9.9
A property of a space where every small part looks like ordinary flat space
  • noun
  • /ˈmænɪˌfoʊldnəs/
  • Specialized
translation icon : variedad
  • The manifoldness of the surface allows mathematicians to apply calculus in higher dimensions.

Examples

  • Understanding the manifoldness of the space is crucial for advanced geometry.

  • Researchers discussed the manifoldness of the new topological model at the conference.

  • The manifoldness of the universe is truly fascinating.

  • Mathematicians study the manifoldness of various shapes.

  • The manifoldness of the surface allows mathematicians to apply calculus in higher dimensions.

  • Understanding the manifoldness of the space is crucial for advanced geometry.

  • Researchers discussed the manifoldness of the new topological model at the conference.

Surface Forms

manifoldness singular

Morphology

manifoldness = manifold (transparent) = manifold + ness

A direct nominalization: 'manifold' (noun) + '-ness' yields the state or property of being a manifold.

Etymology

Manifoldness comes from the parts many and fold, meaning 'many layers' or 'many ways'. In math, think of a manifold as a shape that may bend but, when you look close up, each small area looks like ordinary flat space, so manifoldness names this quality of being that kind of space.