Skip to main content
Have a personal or library account? Click to login
Construction of Measure from Semialgebra of Sets1 Cover

Construction of Measure from Semialgebra of Sets1

By:   
Open Access
|Mar 2016

References

  1. [1] Grzegorz Bancerek. Cardinal numbers., 1():377–382, 1990.
  2. [2] Grzegorz Bancerek. König’s theorem., 1():589–593, 1990.
  3. [3] Grzegorz Bancerek. The fundamental properties of natural numbers., 1():41–46, 1990.
  4. [4] Grzegorz Bancerek. The ordinal numbers., 1():91–96, 1990.
  5. [5] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences., 1():107–114, 1990.
  6. [6] Józef Białas. The-additive measure theory., 2():263–270, 1991.
  7. [7] Józef Białas. Properties of Caratheodor’s measure., 3():67–70, 1992.
  8. [8] Józef Białas. Infimum and supremum of the set of real numbers. Measure theory., 2():163–171, 1991.
  9. [9] Józef Białas. Series of positive real numbers. Measure theory., 2():173–183, 1991.
  10. [10] V.I. Bogachev., volume 1. Springer, 2006.
  11. [11] Czesław Byliński. Binary operations applied to finite sequences., 1():643–649, 1990.
  12. [12] Czesław Byliński. Finite sequences and tuples of elements of a non-empty sets., 1():529–536, 1990.
  13. [13] Czesław Byliński. Functions and their basic properties., 1(): 55–65, 1990.
  14. [14] Czesław Byliński. Functions from a set to a set., 1():153–164, 1990.
  15. [15] Czesław Byliński. Partial functions., 1():357–367, 1990.
  16. [16] Czesław Byliński. Some basic properties of sets., 1():47–53, 1990.
  17. [17] Agata Darmochwał. Finite sets., 1():165–167, 1990.
  18. [18] Noboru Endou and Yasunari Shidama. Integral of measurable function., 14():53–70, 2006. doi:10.2478/v10037-006-0008-x.
  19. [19] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Basic properties of extended real numbers., 9():491–494, 2001.
  20. [20] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Definitions and basic properties of measurable functions., 9():495–500, 2001.
  21. [21] Noboru Endou, Keiko Narita, and Yasunari Shidama. The Lebesgue monotone convergence theorem., 16():167–175, 2008. doi:10.2478/v10037-008-0023-1.
  22. [22] Noboru Endou, Hiroyuki Okazaki, and Yasunari Shidama. Hopf extension theorem of measure., 17():157–162, 2009. doi:10.2478/v10037-009-0018-6.
  23. [23] Noboru Endou, Kazuhisa Nakasho, and Yasunari Shidama.-ring and-algebra of sets., 23():51–57, 2015. doi:10.2478/forma-2015-0004.
  24. [24] P. R. Halmos.. Springer-Verlag, 1974.
  25. [25] Andrzej Kondracki. The Chinese Remainder Theorem., 6(): 573–577, 1997.
  26. [26] Robert Milewski. Associated matrix of linear map., 5():339–345, 1996.
  27. [27] Andrzej Nędzusiak.-fields and probability., 1():401–407, 1990.
  28. [28] Andrzej Nędzusiak. Probability., 1():745–749, 1990.
  29. [29] Beata Padlewska. Families of sets., 1():147–152, 1990.
  30. [30] Konrad Raczkowski and Andrzej Nędzusiak. Series., 2():449–452, 1991.
  31. [31] M.M. Rao.. CRC Press, 2nd edition, 2004.
  32. [32] Andrzej Trybulec and Agata Darmochwał. Boolean domains., 1 ():187–190, 1990.
  33. [33] Wojciech A. Trybulec. Non-contiguous substrings and one-to-one finite sequences., 1():569–573, 1990.
  34. [34] Zinaida Trybulec. Properties of subsets., 1():67–71, 1990.
  35. [35] Edmund Woronowicz. Relations and their basic properties., 1 ():73–83, 1990.
  36. [36] Edmund Woronowicz. Relations defined on sets., 1():181–186, 1990.
DOI: https://doi.org/10.1515/forma-2015-0025 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 309 - 323
Submitted on: Aug 14, 2015
Published on: Mar 25, 2016
Published by: University of Białystok
In partnership with: Paradigm Publishing Services

© 2016 Noboru Endou, published by University of Białystok
This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License.