Get to know Paracompactness better with 4 real example sentences, the meaning.
Paracompactness in a sentence
Paracompactness meaning
The state or condition of being paracompact.
Using Paracompactness
- The main meaning on this page is: The state or condition of being paracompact.
Context around Paracompactness
- Average sentence length in these examples: 18.5 words
- Position in the sentence: 2 start, 2 middle, 0 end
- Sentence types: 4 statements, 0 questions, 0 exclamations
Corpus analysis for Paracompactness
- In this selection, "paracompactness" usually appears near the start of the sentence. The average example has 18.5 words, and this corpus slice is mostly made up of statements.
- Around the word, spaces and properties stand out and add context to how "paracompactness" is used.
- Recognizable usage signals include hausdorff spaces paracompactness and full and paracompactness has little. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "paracompactness" sits close to words such as aaai, aani and aarne, which helps place it inside the broader word index.
Example types with paracompactness
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
In fact, for Hausdorff spaces, paracompactness and full normality are equivalent. (11 words)
Properties Paracompactness is weakly hereditary, i.e. every closed subspace of a paracompact space is paracompact. (16 words)
There are many situations where another condition of topological spaces (such as paracompactness or local compactness ) will imply regularity if preregularity is satisfied. (23 words)
Paracompactness has little to do with the notion of compactness, but rather more to do with breaking up topological space entities into manageable pieces. (24 words)
There are many situations where another condition of topological spaces (such as paracompactness or local compactness ) will imply regularity if preregularity is satisfied. (23 words)
Properties Paracompactness is weakly hereditary, i.e. every closed subspace of a paracompact space is paracompact. (16 words)
Example sentences (4)
In fact, for Hausdorff spaces, paracompactness and full normality are equivalent.
Paracompactness has little to do with the notion of compactness, but rather more to do with breaking up topological space entities into manageable pieces.
Properties Paracompactness is weakly hereditary, i.e. every closed subspace of a paracompact space is paracompact.
There are many situations where another condition of topological spaces (such as paracompactness or local compactness ) will imply regularity if preregularity is satisfied.