Definition of Precompact. Meaning of Precompact. Synonyms of Precompact

- Precompact set may refer to: Relatively compact subspace, a subset whose closure is compact Totally bounded set, a subset that can be covered by finitely...
- of the ambient space). The term precompact (or pre-compact) is sometimes used with the same meaning, but precompact is also used to mean relatively compact...
- mathematics, a relatively compact subspace (or relatively compact subset, or precompact subset) Y of a topological space X is a subset whose closure is compact...
- are equivalent: S {\displaystyle S} is compact, S {\displaystyle S} is precompact and complete. The above follows directly from Jean Dieudonné, theorem...
- K\subseteq X'} has compact closure in the topology of uniform convergence on precompact sets. Furthermore, this topology on K {\displaystyle K} coincides with...
- subsets are weakly precompact by Alaoglu's theorem. Thus the theorem implies that bounded subsets are weakly sequentially precompact, and therefore from...
- topological space Orthocompact space Paracompact space Quasi-compact morphism Precompact set - also called totally bounded Relatively compact subspace Totally...
- In a Hausdorff locally convex TVS, the convex hull of a precompact set is again precompact. Consequently, in a complete Hausdorff locally convex space...
- the virtual machine integration features in Windows Virtual PC contain precompact ISO images for the first step in supported guest systems. Third-party...
- The least such r is called the diameter of M. The space M is called precompact or totally bounded if for every r > 0 there is a finite cover of M by...