About: Locally constant function

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In mathematics, a locally constant function is a function from a topological space into a set with the property that around every point of its domain, there exists some neighborhood of that point on which it restricts to a constant function.

Attributes	Values
rdfs:label	Lokal konstante Funktion (de) Locally constant function (en) 局所定数関数 (ja)
rdfs:comment	In der Mathematik heißt eine Funktion von einem topologischen Raum in eine Menge lokal konstant, wenn für jedes eine Umgebung von existiert, auf der konstant ist. (de) In mathematics, a locally constant function is a function from a topological space into a set with the property that around every point of its domain, there exists some neighborhood of that point on which it restricts to a constant function. (en) 数学において、位相空間 A から集合 B への写像 f が局所定数（きょくしょていすう、英: locally constant）とは、すべての a ∈ A に対して、a のある近傍 U が存在して、f が U 上定数となることである。 (ja)
foaf:depiction
dcterms:subject	Sheaf theory
Wikipage page ID	295629 (xsd:integer)
Wikipage revision ID	1072586876 (xsd:integer)
Link from a Wikipage to another Wikipage	Homology theory Constant function Mathematics Function (mathematics) Connected space Commutative ring Domain of a function Irrational number Fiber (mathematics) Cardinality Abelian group Sheaf theory Discrete space Continuous function (topology) Open set Rational number Real number Set (mathematics) Sheaf (mathematics) Locally connected Sheaf cohomology Topological space Covering map Restriction of a function Local coefficient system Neighborhood (topology)
sameAs	Locally constant function Locally constant function Locally constant function Locally constant function Locally constant function Locally constant function
dbp:wikiPageUsesTemplate	dbt:Annotated_link dbt:Em dbt:Short_description dbt:Unreferenced
thumbnail	wiki-commons:Special:FilePath/Example_of_a_locally_constant_function_with_sgn(x).svg?width=300
has abstract	In der Mathematik heißt eine Funktion von einem topologischen Raum in eine Menge lokal konstant, wenn für jedes eine Umgebung von existiert, auf der konstant ist. (de) In mathematics, a locally constant function is a function from a topological space into a set with the property that around every point of its domain, there exists some neighborhood of that point on which it restricts to a constant function. (en) 数学において、位相空間 A から集合 B への写像 f が局所定数（きょくしょていすう、英: locally constant）とは、すべての a ∈ A に対して、a のある近傍 U が存在して、f が U 上定数となることである。 (ja)
prov:wasDerivedFrom	wikipedia-en:Locally_constant_function?oldid=1072586876&ns=0
page length (characters) of wiki page	4172 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Locally_constant_function
is Link from a Wikipage to another Wikipage of	List of general topology topics Derived functor List of integrals of rational functions Constant of integration Almost all Hyperreal number Differential form Discrete space Chain complex Sequence covering map Locally constant Exponential sheaf sequence Schwartz–Bruhat function
is Wikipage redirect of	Locally constant
is foaf:primaryTopic of	wikipedia-en:Locally_constant_function

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