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** is closed under countable unions: if A < sub > i </ sub >∈ for i = 1, 2 ,…, then also (∪< sub > i </ sub > A < sub > i </ sub >)∈
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** and is
** Eunectes murinus, the green anaconda, the largest species, is found east of the Andes in Colombia, Venezuela, the Guianas, Ecuador, Peru, Bolivia, Brazil and on the island of Trinidad.
** Eunectes notaeus, the yellow anaconda, a smaller species, is found in eastern Bolivia, southern Brazil, Paraguay and northeastern Argentina.
** Eunectes deschauenseei, the dark-spotted anaconda, is a rare species found in northeastern Brazil and coastal French Guiana.
** Eunectes beniensis, the Bolivian anaconda, the most recently defined species, is found in the Departments of Beni and Pando in Bolivia.
** Tarski's theorem: For every infinite set A, there is a bijective map between the sets A and A × A.
** König's theorem: Colloquially, the sum of a sequence of cardinals is strictly less than the product of a sequence of larger cardinals.
** Hausdorff maximal principle: In any partially ordered set, every totally ordered subset is contained in a maximal totally ordered subset.
** In the product topology, the closure of a product of subsets is equal to the product of the closures.
** If S is a set of sentences of first-order logic and B is a consistent subset of S, then B is included in a set that is maximal among consistent subsets of S. The special case where S is the set of all first-order sentences in a given signature is weaker, equivalent to the Boolean prime ideal theorem ; see the section " Weaker forms " below.
** If the set A is infinite, then there exists an injection from the natural numbers N to A ( see Dedekind infinite ).
** The Vitali theorem on the existence of non-measurable sets which states that there is a subset of the real numbers that is not Lebesgue measurable.
** The Lebesgue measure of a countable disjoint union of measurable sets is equal to the sum of the measures of the individual sets.
** and closed
** The Baire category theorem about complete metric spaces, and its consequences, such as the open mapping theorem and the closed graph theorem.
** in a closed consensus process: Restricted membership and often having formal procedures for due-process among voting members
** The closed flute family, in which the musical instrument has a channel to form and direct the air stream over an edge.
** The U. S. Senate Committee on Armed Services and U. S. Senate Committee on Foreign Relations begins its closed door hearings into the dismissal of General Douglas MacArthur by U. S. President Harry S Truman.
** Adolf Hitler marries his longtime mistress Eva Braun in a closed civil ceremony in the Berlin Führerbunker.
** French President Charles De Gaulle states that French troops will be taken out of NATO and that all French NATO bases and HQ's must be closed within a year.
** A snatch-block can be closed around a line, to grab the line, rather than threading the end of the line through the block.
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