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conpactification

 

Definitions from the Web

Conpactification

Part of Speech: Noun

Sense: A process in mathematics where a topological space is augmented by adding "points at infinity" in order to create a compact space.

Usage:

  • The conpactification of a locally compact Hausdorff space can make it easier to study certain properties.
  • Conpactification is a useful concept in general topology and algebraic geometry.

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Part of Speech: Verb

Sense: The action of compactifying something, especially in the context of mathematics.

Usage:

  • The mathematician conpactified the topological space to simplify the analysis.
  • When conpactifying a manifold, additional points are introduced to transform it into a compact one.

Part of Speech: Adjective

Sense 1: Pertaining to or characteristic of the process of conpactification.

Usage: The conpactification method provides a powerful framework to study various mathematical structures.

Sense 2: Popular or known only within a local community.

Usage:

  • This conpactification technique is widely used in the local mathematics research community.
  • The conpactification theorem is well-known among the local topologists.

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