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- Thin_set_(analysis) abstract "In mathematical analysis, a thin set is a subset of n-dimensional complex space Cn with the property that each point has a neighbourhood on which some non-zero holomorphic function vanishes. Since the set on which a holomorphic function vanishes is closed and has empty interior (by the Identity theorem), a thin set is nowhere dense, and the closure of a thin set is also thin.The fine topology was introduced in 1940 by Henri Cartan to aid in the study of thin sets.".
- Thin_set_(analysis) wikiPageID "36130784".
- Thin_set_(analysis) wikiPageLength "960".
- Thin_set_(analysis) wikiPageOutDegree "12".
- Thin_set_(analysis) wikiPageRevisionID "571448676".
- Thin_set_(analysis) wikiPageWikiLink Category:Several_complex_variables.
- Thin_set_(analysis) wikiPageWikiLink Closed_set.
- Thin_set_(analysis) wikiPageWikiLink Closure_(topology).
- Thin_set_(analysis) wikiPageWikiLink Complex_affine_space.
- Thin_set_(analysis) wikiPageWikiLink Complex_space.
- Thin_set_(analysis) wikiPageWikiLink Fine_topology_(potential_theory).
- Thin_set_(analysis) wikiPageWikiLink Henri_Cartan.
- Thin_set_(analysis) wikiPageWikiLink Holomorphic_function.
- Thin_set_(analysis) wikiPageWikiLink Identity_theorem.
- Thin_set_(analysis) wikiPageWikiLink Interior_(topology).
- Thin_set_(analysis) wikiPageWikiLink Mathematical_analysis.
- Thin_set_(analysis) wikiPageWikiLink Neighbourhood_(mathematics).
- Thin_set_(analysis) wikiPageWikiLink Neighbourhood_(topology).
- Thin_set_(analysis) wikiPageWikiLink Nowhere_dense.
- Thin_set_(analysis) wikiPageWikiLink Nowhere_dense_set.
- Thin_set_(analysis) wikiPageWikiLinkText "Thin set (analysis)".
- Thin_set_(analysis) wikiPageWikiLinkText "thin sets".
- Thin_set_(analysis) hasPhotoCollection Thin_set_(analysis).
- Thin_set_(analysis) wikiPageUsesTemplate Template:Citation.
- Thin_set_(analysis) wikiPageUsesTemplate Template:Mathanalysis-stub.
- Thin_set_(analysis) wikiPageUsesTemplate Template:Other_uses.
- Thin_set_(analysis) subject Category:Several_complex_variables.
- Thin_set_(analysis) hypernym Subset.
- Thin_set_(analysis) type Software.
- Thin_set_(analysis) comment "In mathematical analysis, a thin set is a subset of n-dimensional complex space Cn with the property that each point has a neighbourhood on which some non-zero holomorphic function vanishes. Since the set on which a holomorphic function vanishes is closed and has empty interior (by the Identity theorem), a thin set is nowhere dense, and the closure of a thin set is also thin.The fine topology was introduced in 1940 by Henri Cartan to aid in the study of thin sets.".
- Thin_set_(analysis) label "Thin set (analysis)".
- Thin_set_(analysis) sameAs m.0k0nvk9.
- Thin_set_(analysis) sameAs Q7784292.
- Thin_set_(analysis) sameAs Q7784292.
- Thin_set_(analysis) wasDerivedFrom Thin_set_(analysis)?oldid=571448676.
- Thin_set_(analysis) isPrimaryTopicOf Thin_set_(analysis).