Some topological extensions of plane geometry

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 o...

Full description

Autores:
Bell, H.
Tipo de recurso:
Article of journal
Fecha de publicación:
1975
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42429
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42429
http://bdigital.unal.edu.co/32526/
Palabra clave:
Plane geometry
topological extensions
closed subset
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/42429
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network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Bell, H.274ecb72-e3d4-429f-8d5f-6dab017ece0b3002019-06-28T10:49:18Z2019-06-28T10:49:18Z1975https://repositorio.unal.edu.co/handle/unal/42429http://bdigital.unal.edu.co/32526/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.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/32059Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 9, núm. 3-4 (1975); 125-153 0034-7426Bell, H. (1975) Some topological extensions of plane geometry. Revista Colombiana de Matemáticas; Vol. 9, núm. 3-4 (1975); 125-153 0034-7426 .Some topological extensions of plane geometryArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTPlane geometrytopological extensionsclosed subsetORIGINAL32059-117672-1-PB.pdfapplication/pdf7752057https://repositorio.unal.edu.co/bitstream/unal/42429/1/32059-117672-1-PB.pdfe2f3988a659fcf68df88862637095583MD51THUMBNAIL32059-117672-1-PB.pdf.jpg32059-117672-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6382https://repositorio.unal.edu.co/bitstream/unal/42429/2/32059-117672-1-PB.pdf.jpg7f0cb428cf98b9c829b2aa5b18d7abfdMD52unal/42429oai:repositorio.unal.edu.co:unal/424292024-02-05 23:06:30.514Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Some topological extensions of plane geometry
title Some topological extensions of plane geometry
spellingShingle Some topological extensions of plane geometry
Plane geometry
topological extensions
closed subset
title_short Some topological extensions of plane geometry
title_full Some topological extensions of plane geometry
title_fullStr Some topological extensions of plane geometry
title_full_unstemmed Some topological extensions of plane geometry
title_sort Some topological extensions of plane geometry
dc.creator.fl_str_mv Bell, H.
dc.contributor.author.spa.fl_str_mv Bell, H.
dc.subject.proposal.spa.fl_str_mv Plane geometry
topological extensions
closed subset
topic Plane geometry
topological extensions
closed subset
description 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.
publishDate 1975
dc.date.issued.spa.fl_str_mv 1975
dc.date.accessioned.spa.fl_str_mv 2019-06-28T10:49:18Z
dc.date.available.spa.fl_str_mv 2019-06-28T10:49:18Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/42429
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url https://repositorio.unal.edu.co/handle/unal/42429
http://bdigital.unal.edu.co/32526/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/32059
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 9, núm. 3-4 (1975); 125-153 0034-7426
dc.relation.references.spa.fl_str_mv Bell, H. (1975) Some topological extensions of plane geometry. Revista Colombiana de Matemáticas; Vol. 9, núm. 3-4 (1975); 125-153 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
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dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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