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The Definition of Topological Manifolds Cover

The Definition of Topological Manifolds

By: Marco Riccardi  
Open Access
|Jul 2011

References

  1. [1] Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377-382, 1990.
  2. [2] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.
  3. [3] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.
  4. [4] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.
  5. [5] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.
  6. [6] Agata Darmochwał. Compact spaces. Formalized Mathematics, 1(2):383-386, 1990.
  7. [7] Agata Darmochwał. The Euclidean space. Formalized Mathematics, 2(4):599-603, 1991.
  8. [8] Adam Grabowski. Properties of the product of compact topological spaces. Formalized Mathematics, 8(1):55-59, 1999.
  9. [9] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.
  10. [10] Zbigniew Karno. Separated and weakly separated subspaces of topological spaces. Formalized Mathematics, 2(5):665-674, 1991.
  11. [11] Zbigniew Karno. The lattice of domains of an extremally disconnected space. Formalized Mathematics, 3(2):143-149, 1992.
  12. [12] Artur Korniłowicz and Yasunari Shidama. Intersections of intervals and balls in εn/T. Formalized Mathematics, 12(3):301-306, 2004.
  13. [13] John M. Lee. Introduction to Topological Manifolds. Springer-Verlag, New York Berlin Heidelberg, 2000.
  14. [14] Robert Milewski. Bases of continuous lattices. Formalized Mathematics, 7(2):285-294, 1998.
  15. [15] Beata Padlewska. Locally connected spaces. Formalized Mathematics, 2(1):93-96, 1991.
  16. [16] Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990.
  17. [17] Karol Pąk. Basic properties of metrizable topological spaces. Formalized Mathematics, 17(3):201-205, 2009, doi: 10.2478/v10037-009-0024-8.10.2478/v10037-009-0024-8
  18. [18] Bartłomiej Skorulski. First-countable, sequential, and Frechet spaces. Formalized Mathematics, 7(1):81-86, 1998.
  19. [19] Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.
  20. [20] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
DOI: https://doi.org/10.2478/v10037-011-0007-4 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 41 - 44
Published on: Jul 18, 2011
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2011 Marco Riccardi, published by University of Białystok
This work is licensed under the Creative Commons License.

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