Linear Transformations of Euclidean Topological Spaces. Part II

Karol Pąk

Formalized Mathematics (2011)

  • Volume: 19, Issue: 2, page 109-112
  • ISSN: 1426-2630

Abstract

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We prove a number of theorems concerning various notions used in the theory of continuity of barycentric coordinates.

How to cite

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Karol Pąk. "Linear Transformations of Euclidean Topological Spaces. Part II." Formalized Mathematics 19.2 (2011): 109-112. <http://eudml.org/doc/266959>.

@article{KarolPąk2011,
abstract = {We prove a number of theorems concerning various notions used in the theory of continuity of barycentric coordinates.},
author = {Karol Pąk},
journal = {Formalized Mathematics},
language = {eng},
number = {2},
pages = {109-112},
title = {Linear Transformations of Euclidean Topological Spaces. Part II},
url = {http://eudml.org/doc/266959},
volume = {19},
year = {2011},
}

TY - JOUR
AU - Karol Pąk
TI - Linear Transformations of Euclidean Topological Spaces. Part II
JO - Formalized Mathematics
PY - 2011
VL - 19
IS - 2
SP - 109
EP - 112
AB - We prove a number of theorems concerning various notions used in the theory of continuity of barycentric coordinates.
LA - eng
UR - http://eudml.org/doc/266959
ER -

References

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  1. [1] Jesse Alama. The rank+nullity theorem. Formalized Mathematics, 15(3):137-142, 2007, doi:10.2478/v10037-007-0015-6.[Crossref] 
  2. [2] Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377-382, 1990. 
  3. [3] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. Zbl06213858
  4. [4] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990. 
  5. [5] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990. 
  6. [6] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990. 
  7. [7] Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990. 
  8. [8] Czesław Byliński. The sum and product of finite sequences of real numbers. Formalized Mathematics, 1(4):661-668, 1990. 
  9. [9] Agata Darmochwał. The Euclidean space. Formalized Mathematics, 2(4):599-603, 1991. 
  10. [10] Katarzyna Jankowska. Matrices. Abelian group of matrices. Formalized Mathematics, 2(4):475-480, 1991. 
  11. [11] Eugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335-342, 1990. 
  12. [12] Anna Lango and Grzegorz Bancerek. Product of families of groups and vector spaces. Formalized Mathematics, 3(2):235-240, 1992. 
  13. [13] Robert Milewski. Associated matrix of linear map. Formalized Mathematics, 5(3):339-345, 1996. 
  14. [14] Karol Pąk. Basic properties of the rank of matrices over a field. Formalized Mathematics, 15(4):199-211, 2007, doi:10.2478/v10037-007-0024-5.[Crossref] 
  15. [15] Karol Pąk. Affine independence in vector spaces. Formalized Mathematics, 18(1):87-93, 2010, doi: 10.2478/v10037-010-0012-z.[Crossref] 
  16. [16] Karol Pąk. Linear transformations of Euclidean topological spaces. Formalized Mathematics, 19(2):103-108, 2011, doi: 10.2478/v10037-011-0016-3.[Crossref] Zbl1276.15002
  17. [17] Wojciech A. Trybulec. Basis of real linear space. Formalized Mathematics, 1(5):847-850, 1990. 
  18. [18] Wojciech A. Trybulec. Basis of vector space. Formalized Mathematics, 1(5):883-885, 1990. 
  19. [19] Wojciech A. Trybulec. Linear combinations in real linear space. Formalized Mathematics, 1(3):581-588, 1990. 
  20. [20] Wojciech A. Trybulec. Linear combinations in vector space. Formalized Mathematics, 1(5):877-882, 1990. 
  21. [21] Wojciech A. Trybulec. Subspaces and cosets of subspaces in real linear space. Formalized Mathematics, 1(2):297-301, 1990. 
  22. [22] Wojciech A. Trybulec. Subspaces and cosets of subspaces in vector space. Formalized Mathematics, 1(5):865-870, 1990. 
  23. [23] Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990. 
  24. [24] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990. 
  25. [25] Xiaopeng Yue, Xiquan Liang, and Zhongpin Sun. Some properties of some special matrices. Formalized Mathematics, 13(4):541-547, 2005. 

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