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- Germ_(mathematics) abstract "In mathematics, the notion of a germ of an object in/on a topological space is an equivalence class of that object and others of the same kind which captures their shared local properties. In particular, the objects in question are mostly functions (or maps) and subsets. In specific implementations of this idea, the sets or maps in question will have some property, such as being analytic or smooth, but in general this is not needed (the maps or functions in question need not even be continuous); it is however necessary that the space on/in which the object is defined is a topological space, in order that the word local have some sense.The name is derived from cereal germ in a continuation of the sheaf metaphor, as a germ is (locally) the \"heart\" of a function, as it is for a grain.".
- Germ_(mathematics) wikiPageExternalLink arxiv.org.
- Germ_(mathematics) wikiPageExternalLink 0612355.
- Germ_(mathematics) wikiPageID "352714".
- Germ_(mathematics) wikiPageLength "12723".
- Germ_(mathematics) wikiPageOutDegree "61".
- Germ_(mathematics) wikiPageRevisionID "678511945".
- Germ_(mathematics) wikiPageWikiLink Abelian_group.
- Germ_(mathematics) wikiPageWikiLink Abuse_of_notation.
- Germ_(mathematics) wikiPageWikiLink Algebraic_structure.
- Germ_(mathematics) wikiPageWikiLink Analytic_continuation.
- Germ_(mathematics) wikiPageWikiLink Analytic_function.
- Germ_(mathematics) wikiPageWikiLink Cambridge_University_Press.
- Germ_(mathematics) wikiPageWikiLink Catastrophe_theory.
- Germ_(mathematics) wikiPageWikiLink Category:Sheaf_theory.
- Germ_(mathematics) wikiPageWikiLink Category:Topology.
- Germ_(mathematics) wikiPageWikiLink Cereal_germ.
- Germ_(mathematics) wikiPageWikiLink Complex-analytic_variety.
- Germ_(mathematics) wikiPageWikiLink Continuous_function.
- Germ_(mathematics) wikiPageWikiLink Differentiable_function.
- Germ_(mathematics) wikiPageWikiLink Differential_structure.
- Germ_(mathematics) wikiPageWikiLink Dynamical_system_(definition).
- Germ_(mathematics) wikiPageWikiLink Equivalence_class.
- Germ_(mathematics) wikiPageWikiLink Equivalence_relation.
- Germ_(mathematics) wikiPageWikiLink Gluing_axiom.
- Germ_(mathematics) wikiPageWikiLink Holomorphic_function.
- Germ_(mathematics) wikiPageWikiLink Hugo_Rossi.
- Germ_(mathematics) wikiPageWikiLink Ian_R._Porteous.
- Germ_(mathematics) wikiPageWikiLink Indicator_function.
- Germ_(mathematics) wikiPageWikiLink Jet_(mathematics).
- Germ_(mathematics) wikiPageWikiLink Local_property.
- Germ_(mathematics) wikiPageWikiLink Map_(mathematics).
- Germ_(mathematics) wikiPageWikiLink Morphism_of_algebraic_varieties.
- Germ_(mathematics) wikiPageWikiLink Natural_number.
- Germ_(mathematics) wikiPageWikiLink Nicolas_Bourbaki.
- Germ_(mathematics) wikiPageWikiLink Ordinal_number.
- Germ_(mathematics) wikiPageWikiLink Phase_space.
- Germ_(mathematics) wikiPageWikiLink Power_series.
- Germ_(mathematics) wikiPageWikiLink Rational_function.
- Germ_(mathematics) wikiPageWikiLink Riemann_surface.
- Germ_(mathematics) wikiPageWikiLink Robert_C._Gunning.
- Germ_(mathematics) wikiPageWikiLink Sheaf_(mathematics).
- Germ_(mathematics) wikiPageWikiLink Singularity_theory.
- Germ_(mathematics) wikiPageWikiLink Smoothness.
- Germ_(mathematics) wikiPageWikiLink Stalk_(sheaf).
- Germ_(mathematics) wikiPageWikiLink Subset.
- Germ_(mathematics) wikiPageWikiLink Taylor_series.
- Germ_(mathematics) wikiPageWikiLink Topological_space.
- Germ_(mathematics) wikiPageWikiLink Topological_vector_space.
- Germ_(mathematics) wikiPageWikiLink Vector_space.
- Germ_(mathematics) wikiPageWikiLinkText "Germ (mathematics)".
- Germ_(mathematics) wikiPageWikiLinkText "function germ".
- Germ_(mathematics) wikiPageWikiLinkText "germ (mathematics)".
- Germ_(mathematics) wikiPageWikiLinkText "germ".
- Germ_(mathematics) wikiPageWikiLinkText "germs".
- Germ_(mathematics) wikiPageWikiLinkText "map germ".
- Germ_(mathematics) wikiPageWikiLinkText "map germs".
- Germ_(mathematics) first "Evgeniǐ Mikhaǐlovich".
- Germ_(mathematics) id "G/g044390".
- Germ_(mathematics) last "Chirka".
- Germ_(mathematics) title "Germ of smooth functions".
- Germ_(mathematics) title "Germ".
- Germ_(mathematics) urlname "GermOfSmoothFunctions".
- Germ_(mathematics) wikiPageUsesTemplate Template:Cite_book.
- Germ_(mathematics) wikiPageUsesTemplate Template:PlanetMath.
- Germ_(mathematics) wikiPageUsesTemplate Template:Springer.
- Germ_(mathematics) subject Category:Sheaf_theory.
- Germ_(mathematics) subject Category:Topology.
- Germ_(mathematics) hypernym Class.
- Germ_(mathematics) type Field.
- Germ_(mathematics) type Redirect.
- Germ_(mathematics) comment "In mathematics, the notion of a germ of an object in/on a topological space is an equivalence class of that object and others of the same kind which captures their shared local properties. In particular, the objects in question are mostly functions (or maps) and subsets.".
- Germ_(mathematics) label "Germ (mathematics)".
- Germ_(mathematics) sameAs Q2520842.
- Germ_(mathematics) sameAs Itu_(matematiikka).
- Germ_(mathematics) sameAs Germe_(mathématiques).
- Germ_(mathematics) sameAs Germe_di_funzione.
- Germ_(mathematics) sameAs 芽_(数学).
- Germ_(mathematics) sameAs 싹_(수학).
- Germ_(mathematics) sameAs Kiem_(wiskunde).
- Germ_(mathematics) sameAs Kiełek_funkcji_gładkiej.
- Germ_(mathematics) sameAs m.01zh5m.
- Germ_(mathematics) sameAs Росток_(математика).
- Germ_(mathematics) sameAs Q2520842.
- Germ_(mathematics) sameAs 芽_(数学).
- Germ_(mathematics) wasDerivedFrom Germ_(mathematics)?oldid=678511945.
- Germ_(mathematics) isPrimaryTopicOf Germ_(mathematics).