Publicado

1975-09-01

Some topological extensions of plane geometry

Palabras clave:

Plane geometry, topological extensions, closed subset, (es)

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Autores/as

  • H. Bell University of Cincinnati

Let A be a closed subset of the plane. For a point b in the plane whose distance to A is d(b,A) let S(b,A) = {z : |z-b| d (b,A)}. Let E(A) be the set of points e for which S(b,A) ∩ A has at least two points. Let f(A) be the set of open intervals (a,b) for which there is an e ℇ E(A) and a component of S(e,A)-A with endpoints a and b. The sets E(A) and f(A) are the central tools in this paper.

Cómo citar

APA

Bell, H. (1975). Some topological extensions of plane geometry. Revista Colombiana de Matemáticas, 9(3-4), 125–153. https://revistas.unal.edu.co/index.php/recolma/article/view/32059

ACM

[1]
Bell, H. 1975. Some topological extensions of plane geometry. Revista Colombiana de Matemáticas. 9, 3-4 (sep. 1975), 125–153.

ACS

(1)
Bell, H. Some topological extensions of plane geometry. rev.colomb.mat 1975, 9, 125-153.

ABNT

BELL, H. Some topological extensions of plane geometry. Revista Colombiana de Matemáticas, [S. l.], v. 9, n. 3-4, p. 125–153, 1975. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/32059. Acesso em: 22 ene. 2025.

Chicago

Bell, H. 1975. «Some topological extensions of plane geometry». Revista Colombiana De Matemáticas 9 (3-4):125-53. https://revistas.unal.edu.co/index.php/recolma/article/view/32059.

Harvard

Bell, H. (1975) «Some topological extensions of plane geometry», Revista Colombiana de Matemáticas, 9(3-4), pp. 125–153. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/32059 (Accedido: 22 enero 2025).

IEEE

[1]
H. Bell, «Some topological extensions of plane geometry», rev.colomb.mat, vol. 9, n.º 3-4, pp. 125–153, sep. 1975.

MLA

Bell, H. «Some topological extensions of plane geometry». Revista Colombiana de Matemáticas, vol. 9, n.º 3-4, septiembre de 1975, pp. 125-53, https://revistas.unal.edu.co/index.php/recolma/article/view/32059.

Turabian

Bell, H. «Some topological extensions of plane geometry». Revista Colombiana de Matemáticas 9, no. 3-4 (septiembre 1, 1975): 125–153. Accedido enero 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/32059.

Vancouver

1.
Bell H. Some topological extensions of plane geometry. rev.colomb.mat [Internet]. 1 de septiembre de 1975 [citado 22 de enero de 2025];9(3-4):125-53. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/32059

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