Veröffentlicht

1975-09-01

Some topological extensions of plane geometry

Schlagworte:

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

Autor/innen

  • 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.

Zitationsvorschlag

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: 2 feb. 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), S. 125–153. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/32059 (Zugegriffen: 2 Februar 2025).

IEEE

[1]
H. Bell, „Some topological extensions of plane geometry“, rev.colomb.mat, Bd. 9, Nr. 3-4, S. 125–153, Sep. 1975.

MLA

Bell, H. „Some topological extensions of plane geometry“. Revista Colombiana de Matemáticas, Bd. 9, Nr. 3-4, September 1975, S. 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 (September 1, 1975): 125–153. Zugegriffen Februar 2, 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. September 1975 [zitiert 2. Februar 2025];9(3-4):125-53. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/32059

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