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

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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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