Pubblicato

1975-09-01

Some topological extensions of plane geometry

Parole chiave:

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

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Autori

  • 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.

Come citare

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 (set. 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 gen. 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), pagg. 125–153. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/32059 (Consultato: 22 gennaio 2025).

IEEE

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

MLA

Bell, H. «Some topological extensions of plane geometry». Revista Colombiana de Matemáticas, vol. 9, n. 3-4, settembre 1975, pagg. 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 (settembre 1, 1975): 125–153. Consultato gennaio 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 settembre 1975 [citato 22 gennaio 2025];9(3-4):125-53. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/32059

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