closure operator sentence - closure operator sentence in Hindi (1-10)

	1.	A finitary closure operator with this property is called a matroid.
	2.	The Galois connection is not uniquely determined by the closure operator.
	3.	For more on this matter, see closure operator below.
	4.	Finitary closure operators with this property give rise to antimatroids.
	5.	A closure operator on a partially ordered set is determined by its closed elements.
	6.	It is an example of a closure operator; all closure operators are idempotent functions.
	7.	It is an example of a closure operator; all closure operators are idempotent functions.
	8.	Then that closure operator can be shown to satisfy the axioms of a preclosure operator.
	9.	This allows to define new local structures on the category ( such as a closure operator ).
	10.	In fact, " every " closure operator arises in this way from a suitable Galois connection.

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