Jump to content

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

From Wikipedia, the free encyclopedia

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

28-XX Measure and integration.

This list will be periodically updated. Each entry in the list has three fields:

  1. PM : The first field is the link to the PlanetMath article, along with the article's object ID.
  2. WP : The second field is either a "guessed" link to a correspondingly named Wikipedia article, produced by the script which generated the list, or one or more manually entered links to the corresponding Wikipedia articles on the subject.
  3. Status : The third field is the status field, which explains the current status of the entry. The recommended status entries are:
Status means PM article
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.
  • if the WP field is correct please remove the qualifier "guess".
  • If the corresponding Wikipedia article exists, but the link to it is wrong, please fix the link.
  • If you copy or merge an article from PlanetMath, please update the WP and Status fields for that entry.
  • If you have any comments, for example, thoughts on how the PlanetMath article compares to the corresponding Wikipedia article(s), please place such comments on a new indented line following the entry. Comments of this kind are very valuable.

Don't forget to include the relevant template if you copy over text or feel like an external link is warranted

  • {{planetmath|id=|title=}} for copied over text
  • {{planetmath reference|id=|title=}} for an external link

See the main page for examples and usage criteria.

One can use the web-based program Pmform to convert PlanetMath articles to the Wikipedia format. As a side benefit, this tool will place the PlanetMath template for you.

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

See 03-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
See 12D99 Miscellaneous
See 26A06 One-variable calculus
See 26A42 Integrals of Riemann, Stieltjes and Lebesgue type
See 03-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
See 26A06 One-variable calculus

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

28A10 Real- or complex-valued set functions

28A12 Contents, measures, outer measures, capacities

See 26A42 Integrals of Riemann, Stieltjes and Lebesgue type

28A15 Abstract differentiation theory, differentiation of set functions

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

See 26A42 Integrals of Riemann, Stieltjes and Lebesgue type
See 26A42 Integrals of Riemann, Stieltjes and Lebesgue type

28A25 Integration with respect to measures and other set functions

See 28A15 Abstract differentiation theory, differentiation of set functions
See 28A15 Abstract differentiation theory, differentiation of set functions
See 26A42 Integrals of Riemann, Stieltjes and Lebesgue type

28A33 Spaces of measures, convergence of measures

28A35 Measures and integrals in product spaces

28A60 Measures on Boolean rings, measure algebras

See 03E20 Other classical set theory (including functions, relations, and set algebra)
See 03E20 Other classical set theory (including functions, relations, and set algebra)

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

28A78 Hausdorff and packing measures

28A80 Fractals

See 28A33 Spaces of measures, convergence of measures

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

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.)

28D05 Measure-preserving transformations

28D20 Entropy and other invariants

28E99 Miscellaneous