Information for "A map from two sigma-algebras, A and B, is measurable if and only if for some generator of B (call it G) we have the inverse image of S is in A for every S in G"

From Maths
Jump to: navigation, search

Basic information

Display titleA map, [ilmath]f:(A,\mathcal{A})\rightarrow(F,\mathcal{F})[/ilmath], is [ilmath]\mathcal{A}/\mathcal{F} [/ilmath] measurable if and only if for some generator [ilmath]\mathcal{F}_0[/ilmath] of [ilmath]\mathcal{F} [/ilmath] we have [ilmath]\forall S\in\mathcal{F}_0[f^{-1}(S)\in\mathcal{A}][/ilmath]
Default sort keyA map from two sigma-algebras, A and B, is measurable if and only if for some generator of B (call it G) we have the inverse image of S is in A for every S in G
Page length (in bytes)2,007
Page ID465
Page content languageEnglish (en)
Page content modelwikitext
Indexing by robotsAllowed
Number of views4,801
Number of redirects to this page0
Counted as a content pageYes
Number of subpages of this page0 (0 redirects; 0 non-redirects)

Page protection

EditAllow all users
MoveAllow all users

Edit history

Page creatorAlec (Talk | contribs)
Date of page creation23:53, 2 August 2015
Latest editorAlec (Talk | contribs)
Date of latest edit13:23, 18 March 2016
Total number of edits3
Total number of distinct authors1
Recent number of edits (within past 91 days)0
Recent number of distinct authors0

Page properties

Hidden category (1)

This page is a member of 1 hidden category:

Transcluded templates (12)

Templates used on this page: