Template:Measure theory navbox

From Maths

Revision as of 05:16, 20 May 2016 by Alec (Talk | contribs)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Jump to: navigation, search

v • d • e Measure Theory

Overview of the basic and important objects studied in measure theory

Set-structures	ring of sets, algebra of sets, [ilmath]\sigma[/ilmath]-ring, [ilmath]\sigma[/ilmath]-algebra, hereditary [ilmath]\sigma[/ilmath]-ring measurable space

Measures	Pre-measure [ilmath]\leadsto[/ilmath] outer-measure [ilmath]\leadsto[/ilmath] measure (see Extending pre-measures to measures (via: Extending pre-measures to outer-measures [ilmath]\rightarrow[/ilmath] "Restricting outer-measures to measures" maybe?). Alternatively: inner-measure can be used. measure space

Functions	measurable map, simple function (standard representation)

Spaces

Integrals	Integrating a simple function [ilmath]\leadsto[/ilmath] Integral of a positive function [ilmath]\leadsto[/ilmath] Integrating all measurable functions

Todo (Navbox project): Fill this in

Retrieved from "https://www.maths.kisogo.com/index.php?title=Template:Measure_theory_navbox&oldid=2579"

Navigation menu