Tangent mappings and convergent sequences in the Lipschitz category

Daniel M. Hyman

Pubblicato

1989-01-01

Tangent mappings and convergent sequences in the Lipschitz category

Parole chiave:

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

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Autori

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.

Come citare

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 (gen. 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), pagg. 103–117. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33189 (Consultato: 2 febbraio 2025).

IEEE

[1]

D. M. Hyman, «Tangent mappings and convergent sequences in the Lipschitz category», rev.colomb.mat, vol. 23, n. 1-4, pagg. 103–117, gen. 1989.

MLA

Hyman, D. M. «Tangent mappings and convergent sequences in the Lipschitz category». Revista Colombiana de Matemáticas, vol. 23, n. 1-4, gennaio 1989, pagg. 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 (gennaio 1, 1989): 103–117. Consultato febbraio 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]. 1 gennaio 1989 [citato 2 febbraio 2025];23(1-4):103-17. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33189