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・ Finite difference methods for option pricing
・ Finite element exterior calculus
・ Finite element limit analysis
・ Finite element machine
・ Finite element method
・ Finite element method in structural mechanics
・ Finite element model data post-processing
・ Finite element updating
・ Finite extensions of local fields
・ Finite field
・ Finite field arithmetic
・ Finite Fourier transform
・ Finite geometry
・ Finite group
・ Finite impulse response
Finite intersection property
・ Finite lattice representation problem
・ Finite Legendre transform
・ Finite map
・ Finite mathematics
・ Finite model property
・ Finite model theory
・ Finite morphism
・ Finite number
・ Finite part
・ Finite pointset method
・ Finite potential well
・ Finite Records
・ Finite ring
・ Finite Risk insurance


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Finite intersection property : ウィキペディア英語版
Finite intersection property
In general topology, a branch of mathematics, a collection ''A'' of subsets of a set ''X'' is said to have the finite intersection property (FIP) if the intersection over any finite subcollection of ''A'' is nonempty. It has the strong finite intersection property (SFIP) if the intersection over any finite subcollection of ''A'' is infinite.
A centered system of sets is a collection of sets with the finite intersection property.
==Definition==
Let X be a set with A=\_ a family of subsets of X. Then the collection A has the finite intersection property (FIP), if any finite subcollection J\subseteq I has non-empty intersection \bigcap_ A_i.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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