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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N not needed
A adequately covered
C copied
M merged
NC needs copying
NM needs merging
  • Please update the WP and Status fields as appropriate.
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28-00 General reference works (handbooks, dictionaries, bibliographies, etc.)

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

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)[reply
]
On PM they just have a lame definition. Oleg Alexandrov | talk 21:19, 5 Feb 2005 (UTC)
  • PM: monotone class, id=9426new! -- WP guess:
    monotone class
    -- Status:
  • PM: tail event, id=9424new! -- WP guess:
    tail event
    -- Status:

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)[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

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

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

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

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

28A33 Spaces of measures, convergence of measures

  • PM: Koch curve, id=1186 -- WP:
    Koch curve
    -- Status: A
linas 16:24, 26 August 2006 (UTC)[reply]
linas 16:35, 26 August 2006 (UTC)[reply]

28A35 Measures and integrals in product spaces

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

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

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

28A78 Hausdorff and packing measures

  • PM: area formula, id=5979 -- WP guess:
    area formula
    -- Status:

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)[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

28Axx Classical measure theory

28B05 Vector-valued set functions, measures and integrals

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

  • PM: L^p-space, id=2047 -- WP guess:
    L^p-space
    -- Status:
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

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

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

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

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

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

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)[reply]

28Cxx Set functions and measures on spaces with additional structure

28D05 Measure-preserving transformations

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

28D20 Entropy and other invariants

28Dxx Measure-theoretic ergodic theory

28E99 Miscellaneous

28Exx Miscellaneous topics in measure theory

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