Defined spaces

Authors

  • Héctor Carlos Guimaray Huerta Facultad de Ciencias, Universidad Nacional de Ingeniería. Lima, Perú.

DOI:

https://doi.org/10.21754/tecnia.v22i2.79

Keywords:

vector space, topological space, defined set, defined hull

Abstract

 Mathematics has been developed, using axioms, mathematical spaces as vector spaces, normed, metric, topological and so on. The primary objective in this article is to define a space in which the properties of a set are the same in the spaces above, for which is considered a function set to set called defined function. 

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References

[1] Howard, A., “Introducción al Álgebra Lineal”, pp. 279, Editorial Limusa S. A., México, 2003.

[2] Berge, C., “Topological Spaces”, pp. 14, the Macmillan Company, New York, 1963.

[3] Dugundji, J., “Topology”, pp. 69, Allyn and Bacon, Inc., Boston, 1966.

[4] Herstein, I. N., “Álgebra Moderna”, pp. 163, Editorial Trillas S. A. de C. V., México, 2002.

[5] Hoffman, K., “Álgebra lineal”, pp. 34, 36, Editorial Dossat, S. A., Madrid, 1973.

[6] Magaril-Il’yaev G. G., “Convex Analysis: Theory and Applications”, pp. 30, American Mathematical Society, USA, 2003.

[7] Munkres, J. R., “Topología”, pp. 105, 106, Pearson Educación, S. A., Madrid, 2002.

[8] Kusraev, A. G., Kitateladze, S. S., “Subdifferentials: Theory and Applications”, pp. 3, 2 - 6, Kluwer Academic Publishers, Netherlands, 1995.

Published

2012-12-01

How to Cite

[1]
H. C. Guimaray Huerta, “Defined spaces”, TEC, vol. 22, no. 2, pp. 31–34, Dec. 2012.

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