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1975-09-01
Some topological extensions of plane geometry
Mots-clés :
Plane geometry, topological extensions, closed subset, (es)Téléchargements
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.
Comment citer
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 (sept. 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 janv. 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), p. 125–153. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/32059 (Consulté le: 22 janvier 2025).
IEEE
[1]
H. Bell, « Some topological extensions of plane geometry », rev.colomb.mat, vol. 9, nᵒ 3-4, p. 125–153, sept. 1975.
MLA
Bell, H. « Some topological extensions of plane geometry ». Revista Colombiana de Matemáticas, vol. 9, nᵒ 3-4, septembre 1975, p. 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 (septembre 1, 1975): 125–153. Consulté le janvier 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 sept. 1975 [cité 22 janv. 2025];9(3-4):125-53. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/32059
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© Revista Colombiana de Matemáticas 1975
Cette œuvre est sous licence Creative Commons Attribution 4.0 International.
