countably

countably
adverb see countable

New Collegiate Dictionary. 2001.

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  • countably — ˈkau̇n(t)əblē adverb : in a way that is countable a countably infinite subset …   Useful english dictionary

  • Countably generated space — In mathematics, a topological space X is called countably generated if the topology of X is determined by the countable sets in a similar way as the topology of a sequential space (or a Fréchet space) by the convergent sequences. The countable… …   Wikipedia

  • Countably compact space — In mathematics a topological space is countably compact if every countable open cover has a finite subcover. Examples and Properties A compact space is countably compact. Indeed, directly from the definitions, a space is compact if and only if it …   Wikipedia

  • Countably generated — In mathematics, the term countably generated can have several meanings: An algebraic structure (group, module, algebra) having countably many generators, see generating set (disambiguation) Countably generated space, a topological space in which… …   Wikipedia

  • countably — See countability. * * * …   Universalium

  • countably — adverb a) In a countable manner; in a way that can be counted. b) In a way that can be put into one to one correspondence with the natural numbers or any subset thereof. Ant: uncountably …   Wiktionary

  • countably — adv. in a way that enables counting …   English contemporary dictionary

  • countably — count·ably …   English syllables

  • countably additive function — Math. a set function that upon operating on the union of a countable number of disjoint sets gives the same result as the sum of the functional values of each set. Cf. finitely additive function. * * * …   Universalium

  • countably compact set — Math. a set for which every cover consisting of a countable number of sets has a subcover consisting of a finite number of sets. * * * …   Universalium

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