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a [[bijective function|one-to-one correspondence]] between all elements of the set and all natural

...<math>\scriptstyle \mathbb{R}^n </math> (i.e. there exists a continuous [[bijective function]] from the said neighborhood, with a continuous inverse, to <math>\scriptst

Many examples of groups come from considering some object and a set of [[bijective function]]s from the object to itself, which preserve some structure that this objec

...re ''isomorphic'' if there is a [[surjective function|surjective]] (thus [[bijective function|bijective]]) embedding of one into the other (then the embedding is called

* A [[bijective function]] is one which is both surjective and injective.

* "similar" is interpreted as [[Bijective function#Bijections and the concept of cardinality|equinumerous]].

* "similar" is interpreted as [[Bijective function#Bijections and the concept of cardinality|equinumerous]].

*A [[bijective function]] (or '''invertible function''') is one which is both surjective and inject