semicompact Sentence Examples

  1. The topology of this space is semicompact, meaning it is compact but not totally bounded.
  2. The open cover of the semicompact space has a finite subcover that covers the space entirely.
  3. Semicompactness is a topological property that implies compactness in certain contexts.
  4. Functions defined on a semicompact set are often well-behaved and have continuous extensions.
  5. The boundary of a semicompact domain is typically compact and well-defined.
  6. Semicompact operators play a crucial role in functional analysis and operator theory.
  7. The study of semicompact spaces finds applications in algebraic geometry and analysis.
  8. The concept of semicompactness extends naturally to more general topological settings.
  9. Semicompact sets provide a useful bridge between compact and non-compact spaces.
  10. Semicompactness can often be characterized by properties related to covering and compactness conditions.

semicompact Meaning

Webster

semicompact (a.)

Half compact; imperfectly indurated.

Synonyms & Antonyms of semicompact

No Synonyms and anytonyms found

FAQs About the word semicompact

Half compact; imperfectly indurated.

No synonyms found.

No antonyms found.

The topology of this space is semicompact, meaning it is compact but not totally bounded.

The open cover of the semicompact space has a finite subcover that covers the space entirely.

Semicompactness is a topological property that implies compactness in certain contexts.

Functions defined on a semicompact set are often well-behaved and have continuous extensions.