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Hopf Extension Theorem of Measure Cover

Hopf Extension Theorem of Measure

Formalized Mathematics
Volume 17 (2009): Issue 2 (June 2009)
By: ,   and    
Open Access
|Jul 2009
References

References

  1. [1] Grzegorz Bancerek. The ordinal numbers., 1(1):91-96, 1990.
    Search in Google Scholar
  2. [2] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences., 1(1):107-114, 1990.
    Search in Google Scholar
  3. [3] Józef Białas. Infimum and supremum of the set of real numbers. Measure theory., 2(1):163-171, 1991.
    Search in Google Scholar
  4. [4] Józef Białas. Series of positive real numbers. Measure theory., 2(1):173-183, 1991.
    Search in Google Scholar
  5. [5] Józef Białas. Several properties of the σ-additive measure., 2(4):493-497, 1991.
    Search in Google Scholar
  6. [6] Józef Białas. The σ-additive measure theory., 2(2):263-270, 1991.
    Search in Google Scholar
  7. [7] Józef Białas. Properties of Caratheodor's measure., 3(1):67-70, 1992.
    Search in Google Scholar
  8. [8] Czesław Byliński. Functions and their basic properties., 1(1):55-65, 1990.
    Search in Google Scholar
  9. [9] Czesław Byliński. Functions from a set to a set., 1(1):153-164, 1990.
    Search in Google Scholar
  10. [10] Czesław Byliński. Partial functions., 1(2):357-367, 1990.
    Search in Google Scholar
  11. [11] Czesław Byliński. Some basic properties of sets., 1(1):47-53, 1990.
    Search in Google Scholar
  12. [12] Noboru Endou, Keiko Narita, and Yasunari Shidama. The Lebesgue monotone convergence theorem., 16(2):167-175, 2008, doi:10.2478/v10037-008-0023-1.
    Open DOISearch in Google Scholar
  13. [13] Noboru Endou and Yasunari Shidama. Integral of measurable function., 14(2):53-70, 2006, doi:10.2478/v10037-006-0008-x.
    Open DOISearch in Google Scholar
  14. [14] Adam Grabowski. On the Kuratowski limit operators., 11(4):399-409, 2003.
    Search in Google Scholar
  15. [15] P. R. Halmos.Springer-Verlag, 1987.
    Search in Google Scholar
  16. [16] Krzysztof Hryniewiecki. Recursive definitions., 1(2):321-328, 1990.
    Search in Google Scholar
  17. [17] Franz Merkl. Dynkin's lemma in measure theory., 9(3):591-595, 2001.
    Search in Google Scholar
  18. [18] Andrzej Nędzusiak. Probability., 1(4):745-749, 1990.
    Search in Google Scholar
  19. [19] Andrzej Nędzusiak. σ-fields and probability., 1(2):401-407, 1990.
    Search in Google Scholar
  20. [20] Beata Padlewska. Families of sets., 1(1):147-152, 1990.
    Search in Google Scholar
  21. [21] Karol Pąk. The Nagata-Smirnov theorem. Part II., 12(3):385-389, 2004.
    Search in Google Scholar
  22. [22] Andrzej Trybulec. Binary operations applied to functions., 1(2):329-334, 1990.
    Search in Google Scholar
  23. [23] Zinaida Trybulec. Properties of subsets., 1(1):67-71, 1990.
    Search in Google Scholar
  24. [24] Edmund Woronowicz. Relations and their basic properties., 1(1):73-83, 1990.
    Search in Google Scholar
  25. [25] Edmund Woronowicz. Relations defined on sets., 1(1):181-186, 1990.
    Search in Google Scholar
  26. [26] Hiroshi Yamazaki, Noboru Endou, Yasunari Shidama, and Hiroyuki Okazaki. Inferior limit, superior limit and convergence of sequences of extended real numbers., 15(4):231-236, 2007, doi:10.2478/v10037-007-0026-3.
    Open DOISearch in Google Scholar
  27. [27] Bo Zhang, Hiroshi Yamazaki, and Yatsuka Nakamura. Set sequences and monotone class., 13(4):435-441, 2005.
    Search in Google Scholar
DOI: https://doi.org/10.2478/v10037-009-0018-6 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
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Language: English
Page range: 157 - 162
Published on: Jul 14, 2009
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Related subjects:
Computer sciences,
Artificial intelligence,
Computer sciences, other,
Mathematics,
Logic and set theory,
General mathematics

© 2009 Noboru Endou, Hiroyuki Okazaki, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 17 (2009): Issue 2 (June 2009)
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