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

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This page provides a list of all articles available at PlanetMath in the following topic:

28-XX Measure and integration.

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

28-01 Instructional exposition (textbooks, tutorial papers, etc.) edit

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

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)[reply]
On PM they just have a lame definition. Oleg Alexandrov | talk 21:19, 5 Feb 2005 (UTC)

28A10 Real- or complex-valued set functions edit

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

28A12 Contents, measures, outer measures, capacities edit

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

28A15 Abstract differentiation theory, differentiation of set functions edit

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

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

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

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

28A33 Spaces of measures, convergence of measures edit

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

28A35 Measures and integrals in product spaces edit

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

28A60 Measures on Boolean rings, measure algebras edit

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

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

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

28A78 Hausdorff and packing measures edit

28A80 Fractals edit

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

28A99 Miscellaneous edit

28Axx Classical measure theory edit

28B05 Vector-valued set functions, measures and integrals edit

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

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

28B20 Set-valued set functions and measures; integration of set-valued functions; measurable selections edit

28Bxx Set functions, measures and integrals with values in abstract spaces 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 edit

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

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.) edit

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

28Cxx Set functions and measures on spaces with additional structure edit

28D05 Measure-preserving transformations edit

linas 16:32, 26 August 2006 (UTC)[reply]

28D20 Entropy and other invariants edit

28Dxx Measure-theoretic ergodic theory edit

28E99 Miscellaneous edit

28Exx Miscellaneous topics in measure theory edit

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