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- Totally_bounded_space abstract "In topology and related branches of mathematics, a totally bounded space is a space that can be covered by finitely many subsets of any fixed "size" (where the meaning of "size" depends on the given context). The smaller the size fixed, the more subsets may be needed, but any specific size should require only finitely many subsets. A related notion is a totally bounded set, in which only a subset of the space needs to be covered. Every subset of a totally bounded space is a totally bounded set; but even if a space is not totally bounded, some of its subsets still will be. The term precompact (or pre-compact) is sometimes used with the same meaning, but `pre-compact' is also used to mean relatively compact. In a complete metric space these meanings coincide but in general they do not. See also use of the axiom of choice below.".
- Totally_bounded_space wikiPageID "1528346".
- Totally_bounded_space wikiPageRevisionID "602011776".
- Totally_bounded_space hasPhotoCollection Totally_bounded_space.
- Totally_bounded_space subject Category:Compactness_(mathematics).
- Totally_bounded_space subject Category:Metric_geometry.
- Totally_bounded_space subject Category:Uniform_spaces.
- Totally_bounded_space type Abstraction100002137.
- Totally_bounded_space type Attribute100024264.
- Totally_bounded_space type Space100028651.
- Totally_bounded_space type UniformSpaces.
- Totally_bounded_space comment "In topology and related branches of mathematics, a totally bounded space is a space that can be covered by finitely many subsets of any fixed "size" (where the meaning of "size" depends on the given context). The smaller the size fixed, the more subsets may be needed, but any specific size should require only finitely many subsets. A related notion is a totally bounded set, in which only a subset of the space needs to be covered.".
- Totally_bounded_space label "Conjunto pré-compacto".
- Totally_bounded_space label "Espace précompact".
- Totally_bounded_space label "Spazio totalmente limitato".
- Totally_bounded_space label "Totalbeschränktheit".
- Totally_bounded_space label "Totally bounded space".
- Totally_bounded_space label "Zbiór całkowicie ograniczony".
- Totally_bounded_space sameAs Totálně_omezený_metrický_prostor.
- Totally_bounded_space sameAs Totalbeschränktheit.
- Totally_bounded_space sameAs Espace_précompact.
- Totally_bounded_space sameAs Spazio_totalmente_limitato.
- Totally_bounded_space sameAs 완전_유계_공간.
- Totally_bounded_space sameAs Zbiór_całkowicie_ograniczony.
- Totally_bounded_space sameAs Conjunto_pré-compacto.
- Totally_bounded_space sameAs m.0586zk.
- Totally_bounded_space sameAs Q1362228.
- Totally_bounded_space sameAs Q1362228.
- Totally_bounded_space sameAs Totally_bounded_space.
- Totally_bounded_space wasDerivedFrom Totally_bounded_space?oldid=602011776.
- Totally_bounded_space isPrimaryTopicOf Totally_bounded_space.