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1972-01-01
On Kan's condition
Keywords:
simplicial set, homotopy, homotypic, commutative diagram (es)Downloads
In the category Δo Ens , of the simplicial sets, there exists a "Unit interval" : the simplicial set Δ[1], with extremities εi : Δ[0] → Δ[1] (i = 0, 1) ([1], [2] ).
On the other hand, since in Δo Ens, the products are representable and Δ[0] is a final object, these exists in Δo Ens, a completely natural notion of homotopy : two arrows fo , f1 : X → Y are "simply homotopic" if there is an arrow F which makes the following diagram commutative.
How to Cite
APA
Ruiz Salguero, C., Ruiz, R. and Frias, S. (1972). On Kan’s condition. Revista Colombiana de Matemáticas, 6(1), 1–16. https://revistas.unal.edu.co/index.php/recolma/article/view/31821
ACM
[1]
Ruiz Salguero, C., Ruiz, R. and Frias, S. 1972. On Kan’s condition. Revista Colombiana de Matemáticas. 6, 1 (Jan. 1972), 1–16.
ACS
(1)
Ruiz Salguero, C.; Ruiz, R.; Frias, S. On Kan’s condition. rev.colomb.mat 1972, 6, 1-16.
ABNT
RUIZ SALGUERO, C.; RUIZ, R.; FRIAS, S. On Kan’s condition. Revista Colombiana de Matemáticas, [S. l.], v. 6, n. 1, p. 1–16, 1972. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/31821. Acesso em: 22 jan. 2025.
Chicago
Ruiz Salguero, Carlos, Roberto Ruiz, and S. Frias. 1972. “On Kan’s condition”. Revista Colombiana De Matemáticas 6 (1):1-16. https://revistas.unal.edu.co/index.php/recolma/article/view/31821.
Harvard
Ruiz Salguero, C., Ruiz, R. and Frias, S. (1972) “On Kan’s condition”, Revista Colombiana de Matemáticas, 6(1), pp. 1–16. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/31821 (Accessed: 22 January 2025).
IEEE
[1]
C. Ruiz Salguero, R. Ruiz, and S. Frias, “On Kan’s condition”, rev.colomb.mat, vol. 6, no. 1, pp. 1–16, Jan. 1972.
MLA
Ruiz Salguero, C., R. Ruiz, and S. Frias. “On Kan’s condition”. Revista Colombiana de Matemáticas, vol. 6, no. 1, Jan. 1972, pp. 1-16, https://revistas.unal.edu.co/index.php/recolma/article/view/31821.
Turabian
Ruiz Salguero, Carlos, Roberto Ruiz, and S. Frias. “On Kan’s condition”. Revista Colombiana de Matemáticas 6, no. 1 (January 1, 1972): 1–16. Accessed January 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/31821.
Vancouver
1.
Ruiz Salguero C, Ruiz R, Frias S. On Kan’s condition. rev.colomb.mat [Internet]. 1972 Jan. 1 [cited 2025 Jan. 22];6(1):1-16. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/31821
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Copyright (c) 1972 Revista Colombiana de Matemáticas
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