Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books 1 - 5 of 5 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
Limited preview - About this book

Encyclopedic Dictionary of Mathematics, Volume 1

Kiyosi Itō - Mathematics - 1993 - 2148 pages
...family ft of all closed sets satisfies (F). Given a subset A of A", the intersection A" of the family of all closed sets containing A is called the closure of A, and each point of A" is called an adherent point of A. The closure A" is the smallest closed set containing...
Limited preview - About this book

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...
Limited preview - About this book

Bayesian Nonparametrics

J.K. Ghosh, R.V. Ramamoorthi - Mathematics - 2003 - 305 pages
...of closed sets is a closed set. For any set ACS, the smallest closed set containing A, which is the intersection of all closed sets containing A, is called the closure of A and will be denoted by A. Similarly A", the union of all open sets contained in A is called the interior...
Limited preview - About this book

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...
Limited preview - About this book

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...
Limited preview - About this book




  1. My library
  2. Help
  3. Advanced Book Search