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In mathematics, the term essentially unique is used to describe a weaker form of uniqueness, where an object satisfying a property is "unique" only in the sense that all objects satisfying the property are equivalent to each other. The notion of essential uniqueness presupposes some form of "sameness", which is often formalized using an equivalence relation.

Attributes	Values
rdfs:label	Essentially unique (en) Essentiellement unique (fr)
rdfs:comment	In mathematics, the term essentially unique is used to describe a weaker form of uniqueness, where an object satisfying a property is "unique" only in the sense that all objects satisfying the property are equivalent to each other. The notion of essential uniqueness presupposes some form of "sameness", which is often formalized using an equivalence relation. (en) En mathématiques, le terme essentiellement unique est utilisé pour indiquer que, bien qu'un objet ne soit pas le seul qui satisfait certaines propriétés, tous ces objets sont « les mêmes » dans un certain sens approprié aux circonstances. Cette notion d'identité est souvent formalisée à l'aide d'une relation d'équivalence. (fr)
dcterms:subject	Mathematical terminology
Wikipage page ID	7918341 (xsd:integer)
Wikipage revision ID	1053184277 (xsd:integer)
Link from a Wikipage to another Wikipage	Invariant measure Compact space Mathematics Fundamental theorem of arithmetic Modulo (jargon) Limit (category theory) Maximal compact subgroup 2-sphere Lebesgue measure Locally finite measure Cyclic group Equivalence relation Factorization Cardinality Isomorphism Knot theory Prime knot Group (mathematics) Isomorphic Prime number Mathematical terminology Binary Golay code Bit Homeomorphism Automorphism group Manifold Classification theorem Integer Semisimple Lie group Up to Symmetric group Universal property Real line Strictly positive measure Translation (mathematics) Simply connected Klein four group
sameAs	Essentially unique Essentially unique Essentially unique Essentially unique
dbp:wikiPageUsesTemplate	dbt:Reflist
has abstract	In mathematics, the term essentially unique is used to describe a weaker form of uniqueness, where an object satisfying a property is "unique" only in the sense that all objects satisfying the property are equivalent to each other. The notion of essential uniqueness presupposes some form of "sameness", which is often formalized using an equivalence relation. A related notion is a universal property, where an object is not only essentially unique, but unique up to a unique isomorphism (meaning that it has trivial automorphism group). In general there can be more than one isomorphism between examples of an essentially unique object. (en) En mathématiques, le terme essentiellement unique est utilisé pour indiquer que, bien qu'un objet ne soit pas le seul qui satisfait certaines propriétés, tous ces objets sont « les mêmes » dans un certain sens approprié aux circonstances. Cette notion d'identité est souvent formalisée à l'aide d'une relation d'équivalence. Une notion liée est une propriété universelle, où un objet n'est pas seulement essentiellement unique, mais unique à un unique isomorphisme près (ce qui signifie qu'il a un groupe d'automorphismes trivial). En général, étant donnés deux exemples isomorphes d'un objet essentiellement unique, il n'y a pas d'isomorphisme naturel (unique) entre eux. (fr)
prov:wasDerivedFrom	wikipedia-en:Essentially_unique?oldid=1053184277&ns=0
page length (characters) of wiki page	5521 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Essentially_unique
is Link from a Wikipage to another Wikipage of	Modulo (mathematics) Algebraically closed field Conference matrix Maximal compact subgroup Essentially Unique Uniqueness quantification Integer Real number Unique Up to Uniqueness theorem
is Wikipage redirect of	Essentially Unique
is Wikipage disambiguates of	Unique
is foaf:primaryTopic of	wikipedia-en:Essentially_unique

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