compactification
1
9.9
- noun
- /kəmˌpæktɪfɪˈkeɪʃən/
- Specialized
:
compactificación
- In topology, compactification is essential for ensuring that a space is complete and bounded.
- compactification scale
Examples
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One can also create a one-point compactification of the real numbers.
Blog text (9) -
There is one method for defining and working with that I've seen that makes it behave like a number (at least algebraically): the one-point compactification of the complex plane.
Blog text (9) -
It is the one-point compactification of the complex plane.
Blog text (9) -
With the one-point compactification of the reals, it is also reasonable to say that 1/0 = ?
Blog text (9) -
We now consider compactification. As in the abelian case, the non-trivial ingredients that can lift some of the KK modes are Wilson lines on torsion cycles.
Academic text (2018) -
The mathematician explained the concept of compactification by illustrating how to transform the open interval into a compact space.
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The professor demonstrated compactification by showing how to add points to a structure to make it compact.
Antonyms
Surface Forms
Morphology
compactification = compactify (semi-transparent) = compact + ify + ation
Forming a noun from the verb 'compactify' by adding the standard nominalizing suffix '-ation' is a regular and transparent step.
Etymology
Compactification comes from compact ('closely packed' or 'small and tight') and the ending -ification ('the act of making' or 'a process'). So compactification is the process of 'making something compact', and in math or physics this means adding points or limits so a space does not run off to infinity and is easier to study.