Tangent mappings and convergent sequences in the lipschitz category

The standard definition of a derivative in linear spaces is extended to a definition of tangency in the Lipschitz category, without any assumed algebraic structure on the underlying spaces.  Tangency is characterized topologically, that is, solely in terms of continuity, without using any algebraic...

Full description

Autores:
Hyman, Daniel M.
Tipo de recurso:
Article of journal
Fecha de publicación:
1989
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43255
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43255
http://bdigital.unal.edu.co/33353/
Palabra clave:
Standard definition
derivative in linear spaces
tangency
Lipschitz category
algebraic structure
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_27bf7cd709bfbcfabf0718d8f93f4e11
oai_identifier_str oai:repositorio.unal.edu.co:unal/43255
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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_abf2Hyman, Daniel M.9649f30c-69ce-4cfb-b64e-7b837964ec173002019-06-28T11:44:55Z2019-06-28T11:44:55Z1989https://repositorio.unal.edu.co/handle/unal/43255http://bdigital.unal.edu.co/33353/The standard definition of a derivative in linear spaces is extended to a definition of tangency in the Lipschitz category, without any assumed algebraic structure on the underlying spaces.  Tangency is characterized topologically, that is, solely in terms of continuity, without using any algebraic concepts or other analytical concepts. The mappings in the Lipschitz category are characterized as the class of functions that preserve topologically convergent sequences of finite variation.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33189Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 23, núm. 1-4 (1989); 103-117 0034-7426Hyman, Daniel M. (1989) Tangent mappings and convergent sequences in the lipschitz category. Revista Colombiana de Matemáticas; Vol. 23, núm. 1-4 (1989); 103-117 0034-7426 .Tangent mappings and convergent sequences in the lipschitz categoryArtículo 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/ARTStandard definitionderivative in linear spacestangencyLipschitz categoryalgebraic structureORIGINAL33189-123047-1-PB.pdfapplication/pdf5057371https://repositorio.unal.edu.co/bitstream/unal/43255/1/33189-123047-1-PB.pdf25e394cddf9e04441dc787a7653a16f8MD51THUMBNAIL33189-123047-1-PB.pdf.jpg33189-123047-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg7818https://repositorio.unal.edu.co/bitstream/unal/43255/2/33189-123047-1-PB.pdf.jpg19d42de75baaf6254eb9066cfad9dfc5MD52unal/43255oai:repositorio.unal.edu.co:unal/432552023-02-11 23:05:00.239Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Tangent mappings and convergent sequences in the lipschitz category
title Tangent mappings and convergent sequences in the lipschitz category
spellingShingle Tangent mappings and convergent sequences in the lipschitz category
Standard definition
derivative in linear spaces
tangency
Lipschitz category
algebraic structure
title_short Tangent mappings and convergent sequences in the lipschitz category
title_full Tangent mappings and convergent sequences in the lipschitz category
title_fullStr Tangent mappings and convergent sequences in the lipschitz category
title_full_unstemmed Tangent mappings and convergent sequences in the lipschitz category
title_sort Tangent mappings and convergent sequences in the lipschitz category
dc.creator.fl_str_mv Hyman, Daniel M.
dc.contributor.author.spa.fl_str_mv Hyman, Daniel M.
dc.subject.proposal.spa.fl_str_mv Standard definition
derivative in linear spaces
tangency
Lipschitz category
algebraic structure
topic Standard definition
derivative in linear spaces
tangency
Lipschitz category
algebraic structure
description The standard definition of a derivative in linear spaces is extended to a definition of tangency in the Lipschitz category, without any assumed algebraic structure on the underlying spaces.  Tangency is characterized topologically, that is, solely in terms of continuity, without using any algebraic concepts or other analytical concepts. The mappings in the Lipschitz category are characterized as the class of functions that preserve topologically convergent sequences of finite variation.
publishDate 1989
dc.date.issued.spa.fl_str_mv 1989
dc.date.accessioned.spa.fl_str_mv 2019-06-28T11:44:55Z
dc.date.available.spa.fl_str_mv 2019-06-28T11:44:55Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/43255
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url https://repositorio.unal.edu.co/handle/unal/43255
http://bdigital.unal.edu.co/33353/
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/33189
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. 23, núm. 1-4 (1989); 103-117 0034-7426
dc.relation.references.spa.fl_str_mv Hyman, Daniel M. (1989) Tangent mappings and convergent sequences in the lipschitz category. Revista Colombiana de Matemáticas; Vol. 23, núm. 1-4 (1989); 103-117 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
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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