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Books Books 1 - 3 of 3 on A, intersection of all closed sets containing A, is called the closure of A..
" A, intersection of all closed sets containing A, is called the closure of A. "
Topological Vector Spaces - Page 4
by H.H. Schaefer, Manfred P. H. Wolff - 1999 - 346 pages
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Spatial Information Theory A Theoretical Basis for GIS: International ...

Stephen C. Hirtle, Andrew U. Frank - Computers - 1997 - 510 pages
...boundary and interior, respectively. Traditionally, o A is denned as the union of all open sets in A. The intersection of all closed sets containing A is called the closure of A, denoted by A. The exterior of A (wrt U) is U — A. dA is then defined as the intersection of the closure...
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Differential Geometry and Topology: With a View to Dynamical Systems

Keith Burns, Marian Gidea - Mathematics - 2005 - 400 pages
...Example 1.2.2 (iv). D The complement of an open set is said to be a closed set. Given a set ACX, the intersection of all closed sets containing A is called the closure of A, and is denoted by c\(A). The closure of a set is always a closed set. For a set A, the boundary set...
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Methods of Nonlinear Analysis: Applications to Differential Equations

Pavel Drabek, Jaroslav Milota - Mathematics - 2007 - 568 pages
...[35]. A subset F of a topological space X is called a closed set if X \ F is open. If ACX, then the intersection of all closed sets containing A is called the closure of A and is denoted by A, ie, J- is closed A dual notion is the interior (mtA) of A: int.A = (J SC.A Q is...
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