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Cartesian Products of Family of Real Linear Spaces Cover

Cartesian Products of Family of Real Linear Spaces

Formalized Mathematics
Volume 19 (2011): Issue 1 (March 2011)
By: Hiroyuki Okazaki,  Noboru Endou and  Yasunari Shidama  
Open Access
|Jul 2011

References

  1. [1] Grzegorz Bancerek. König's theorem. Formalized Mathematics, 1(3):589-593, 1990.
    Search in Google Scholar
  2. [2] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.
    Search in Google Scholar
  3. [3] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.
    Search in Google Scholar
  4. [4] Nicolas Bourbaki. Topological vector spaces: Chapters 1-5. Springer, 1981.
    Search in Google Scholar
  5. [5] Czesław Byliński. Binary operations. Formalized Mathematics, 1(1):175-180, 1990.
    Search in Google Scholar
  6. [6] Czesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529-536, 1990.
    Search in Google Scholar
  7. [7] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.
    Search in Google Scholar
  8. [8] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.
    Search in Google Scholar
  9. [9] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.
    Search in Google Scholar
  10. [10] Czesław Byliński. The sum and product of finite sequences of real numbers. Formalized Mathematics, 1(4):661-668, 1990.
    Search in Google Scholar
  11. [11] Agata Darmochwał. The Euclidean space. Formalized Mathematics, 2(4):599-603, 1991.
    Search in Google Scholar
  12. [12] Noboru Endou, Yasunari Shidama, and Keiichi Miyajima. The product space of real normed spaces and its properties. Formalized Mathematics, 15(3):81-85, 2007, doi:10.2478/v10037-007-0010-y.10.2478/v10037-007-0010-y
    Search in Google Scholar
  13. [13] Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990.
    Search in Google Scholar
  14. [14] Jan Popiołek. Real normed space. Formalized Mathematics, 2(1):111-115, 1991.
    Search in Google Scholar
  15. [15] Yasunari Shidama. Banach space of bounded linear operators. Formalized Mathematics, 12(1):39-48, 2004.
    Search in Google Scholar
  16. [16] Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990.
    Search in Google Scholar
  17. [17] Wojciech A. Trybulec. Pigeon hole principle. Formalized Mathematics, 1(3):575-579, 1990.
    Search in Google Scholar
  18. [18] Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.
    Search in Google Scholar
  19. [19] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
    Search in Google Scholar
  20. [20] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.
    Search in Google Scholar
DOI: https://doi.org/10.2478/v10037-011-0009-2 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
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Language: English
Page range: 51 - 59
Published on: Jul 18, 2011
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Related subjects:
Mathematics,
General mathematics,
Computer sciences,
Computer sciences, other

© 2011 Hiroyuki Okazaki, Noboru Endou, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 19 (2011): Issue 1 (March 2011)