Tangent mappings and convergent sequences in the Lipschitz category

Daniel M. Hyman

Published

1989-01-01

Tangent mappings and convergent sequences in the Lipschitz category

Keywords:

Standard definition, derivative in linear spaces, tangency, Lipschitz category, algebraic structure (es)

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Authors

Daniel M. Hyman

Abstract (en)

The standard definition of a derivative in linear spaces is extended to a definition of tangency in the Lipschitz category, without any assumed algebraic structure on the underlying spaces. Tangency is characterized topologically, that is, solely in terms of continuity, without using any algebraic concepts or other analytical concepts. The mappings in the Lipschitz category are characterized as the class of functions that preserve topologically convergent sequences of finite variation.

How to Cite

APA

Hyman, D. M. (1989). Tangent mappings and convergent sequences in the Lipschitz category. Revista Colombiana de Matemáticas, 23(1-4), 103–117. https://revistas.unal.edu.co/index.php/recolma/article/view/33189

ACM

[1]

Hyman, D.M. 1989. Tangent mappings and convergent sequences in the Lipschitz category. Revista Colombiana de Matemáticas. 23, 1-4 (Jan. 1989), 103–117.

ACS

(1)

Hyman, D. M. Tangent mappings and convergent sequences in the Lipschitz category. rev.colomb.mat 1989, 23, 103-117.

ABNT

HYMAN, D. M. Tangent mappings and convergent sequences in the Lipschitz category. Revista Colombiana de Matemáticas, [S. l.], v. 23, n. 1-4, p. 103–117, 1989. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33189. Acesso em: 2 feb. 2025.

Chicago

Hyman, Daniel M. 1989. “Tangent mappings and convergent sequences in the Lipschitz category”. Revista Colombiana De Matemáticas 23 (1-4):103-17. https://revistas.unal.edu.co/index.php/recolma/article/view/33189.

Harvard

Hyman, D. M. (1989) “Tangent mappings and convergent sequences in the Lipschitz category”, Revista Colombiana de Matemáticas, 23(1-4), pp. 103–117. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33189 (Accessed: 2 February 2025).

IEEE

[1]

D. M. Hyman, “Tangent mappings and convergent sequences in the Lipschitz category”, rev.colomb.mat, vol. 23, no. 1-4, pp. 103–117, Jan. 1989.

MLA

Hyman, D. M. “Tangent mappings and convergent sequences in the Lipschitz category”. Revista Colombiana de Matemáticas, vol. 23, no. 1-4, Jan. 1989, pp. 103-17, https://revistas.unal.edu.co/index.php/recolma/article/view/33189.

Turabian

Hyman, Daniel M. “Tangent mappings and convergent sequences in the Lipschitz category”. Revista Colombiana de Matemáticas 23, no. 1-4 (January 1, 1989): 103–117. Accessed February 2, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33189.

Vancouver

1.

Hyman DM. Tangent mappings and convergent sequences in the Lipschitz category. rev.colomb.mat [Internet]. 1989 Jan. 1 [cited 2025 Feb. 2];23(1-4):103-17. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/33189