Some topological extensions of plane geometry

H. Bell

Published

1975-09-01

Some topological extensions of plane geometry

Keywords:

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

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Authors

H. Bell University of Cincinnati

Abstract (es)

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.

How to Cite

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 jan. 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. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/32059 (Accessed: 22 January 2025).

IEEE

[1]

H. Bell, “Some topological extensions of plane geometry”, rev.colomb.mat, vol. 9, no. 3-4, pp. 125–153, Sep. 1975.

MLA

Bell, H. “Some topological extensions of plane geometry”. Revista Colombiana de Matemáticas, vol. 9, no. 3-4, Sept. 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 (September 1, 1975): 125–153. Accessed January 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]. 1975 Sep. 1 [cited 2025 Jan. 22];9(3-4):125-53. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/32059