Wikipedia:WikiProject Mathematics/PlanetMath Exchange/28-XX Measure and integration

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28-XX Measure and integration.

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[edit] 28-00 General reference works (handbooks, dictionaries, bibliographies, etc.)

[edit] 28A05 Classes of sets (Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets

On PM they have just a lame definition. Oleg Alexandrov | talk 18:22, 5 Feb 2005 (UTC)
Made it a redirect to limit superior and limit inferior where this info exists. Oleg Alexandrov (talk) 01:58, 24 October 2005 (UTC)
On PM they just have a lame definition. Oleg Alexandrov | talk 21:19, 5 Feb 2005 (UTC)

[edit] 28A10 Real- or complex-valued set functions

Redirects to measure (mathematics) where this definition is stated. Oleg Alexandrov (talk) 08:51, 22 October 2005 (UTC)
Redirects to complex number, where this info is covered.Oleg Alexandrov (talk) 08:51, 22 October 2005 (UTC)
Oleg Alexandrov (talk) 08:51, 22 October 2005 (UTC)
Oleg Alexandrov (talk) 08:51, 22 October 2005 (UTC)
Oleg Alexandrov (talk) 08:51, 22 October 2005 (UTC)
Oleg Alexandrov (talk) 08:51, 22 October 2005 (UTC)

[edit] 28A12 Contents, measures, outer measures, capacities

Oleg Alexandrov (talk) 02:03, 24 October 2005 (UTC)
Redirects to measure (mathematics) where this concept is explained. Oleg Alexandrov (talk) 07:18, 24 October 2005 (UTC)
Oleg Alexandrov (talk) 07:18, 24 October 2005 (UTC)
Merged and redirected to signed measure. Oleg Alexandrov (talk) 08:49, 24 October 2005 (UTC)
Merged to signed measure. Oleg Alexandrov (talk) 08:49, 24 October 2005 (UTC)
Oleg Alexandrov (talk) 19:48, 8 March 2006 (UTC)
We have the fully general defintion in any measure space, not just the real line. Oleg Alexandrov (talk) 19:51, 8 March 2006 (UTC)
linas 16:19, 26 August 2006 (UTC)
Copied and merged with Hahn decomposition theorem and Jordan decomposition. Oleg Alexandrov (talk) 08:49, 24 October 2005 (UTC)
Oleg Alexandrov (talk) 19:48, 8 March 2006 (UTC)

[edit] 28A15 Abstract differentiation theory, differentiation of set functions

Oleg Alexandrov (talk) 04:58, 27 October 2005 (UTC)

[edit] 28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence

Oleg Alexandrov (talk) 03:51, 25 October 2005 (UTC)
Oleg Alexandrov (talk) 03:51, 25 October 2005 (UTC)
Oleg Alexandrov (talk) 03:52, 25 October 2005 (UTC)
Oleg Alexandrov (talk) 05:02, 27 October 2005 (UTC)

[edit] 28A25 Integration with respect to measures and other set functions

[edit] 28A33 Spaces of measures, convergence of measures

linas 16:24, 26 August 2006 (UTC)
linas 16:35, 26 August 2006 (UTC)

[edit] 28A35 Measures and integrals in product spaces

Oleg Alexandrov (talk) 13:01, 24 October 2005 (UTC)
Oleg Alexandrov (talk) 13:01, 24 October 2005 (UTC)

[edit] 28A60 Measures on Boolean rings, measure algebras

Oleg Alexandrov (talk) 14:14, 24 October 2005 (UTC)
PM has two articles on this topic for some reason. Oleg Alexandrov (talk) 14:14, 24 October 2005 (UTC)

[edit] 28A75 Length, area, volume, other geometric measure theory

Oleg Alexandrov (talk) 04:26, 3 March 2006 (UTC)

[edit] 28A78 Hausdorff and packing measures

[edit] 28A80 Fractals

PM discussion of fat Cantor sets needs to be merged or put to fat Cantor set. linas 16:27, 26 August 2006 (UTC)
Jeekc 14:56, 8 January 2006 (UTC)
linas 16:29, 26 August 2006 (UTC)
linas 16:30, 26 August 2006 (UTC)

[edit] 28A99 Miscellaneous

[edit] 28B15 Set functions, measures and integrals with values in ordered spaces

Oleg Alexandrov (talk) 04:51, 3 March 2006 (UTC)
Copied the references. Oleg Alexandrov (talk) 20:00, 8 March 2006 (UTC)

[edit] 28C05 Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures

[edit] 28C10 Set functions and measures on topological groups, Haar measures, invariant measures

Oleg Alexandrov (talk) 05:32, 25 October 2005 (UTC)

[edit] 28C15 Set functions and measures on topological spaces (regularity of measures, etc.)

[edit] 28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)

Oleg Alexandrov (talk) 04:27, 3 March 2006 (UTC)

[edit] 28D05 Measure-preserving transformations

linas 16:32, 26 August 2006 (UTC)

[edit] 28D20 Entropy and other invariants

[edit] 28E99 Miscellaneous

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