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Incubator escapee wiki:WikiProject Mathematics/PlanetMath Exchange/28-XX Measure and integration

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Template:Planetmath instructions

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 setsEdit

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)

28A10 Real- or complex-valued set functionsEdit

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)

28A12 Contents, measures, outer measures, capacitiesEdit

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)

28A15 Abstract differentiation theory, differentiation of set functionsEdit

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

28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergenceEdit

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)

28A25 Integration with respect to measures and other set functionsEdit

28A33 Spaces of measures, convergence of measuresEdit

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

28A35 Measures and integrals in product spacesEdit

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

28A60 Measures on Boolean rings, measure algebrasEdit

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)

28A75 Length, area, volume, other geometric measure theoryEdit

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

28A78 Hausdorff and packing measuresEdit

28A80 FractalsEdit

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)

28A99 MiscellaneousEdit

28Axx Classical measure theoryEdit

28B05 Vector-valued set functions, measures and integralsEdit

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

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

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

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

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

28C10 Set functions and measures on topological groups, Haar measures, invariant measuresEdit

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

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)

28Cxx Set functions and measures on spaces with additional structureEdit

28D05 Measure-preserving transformationsEdit

linas 16:32, 26 August 2006 (UTC)

28D20 Entropy and other invariantsEdit

28Dxx Measure-theoretic ergodic theoryEdit

28E99 MiscellaneousEdit

28Exx Miscellaneous topics in measure theoryEdit

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