Isomorphism between Euclidean Space and R^2

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Is it correct to say that $mathbbR^2$ is an Euclidean Space since there is an isomorphism between the "objects and rules" of the Euclidean Geometry and the "objects and rules" of $mathbbR^2$ ?



I hope you understand what I mean, maybe I've used a not so clear language, but I don't know how to better express my thought




geometry euclidean-geometry




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  • Depends what you mean by "$R^2$". You may be interested in this related q.. math.stackexchange.com/questions/831048/…
    – Peter Franek
    2 days ago















up vote
0
down vote

favorite












Is it correct to say that $mathbbR^2$ is an Euclidean Space since there is an isomorphism between the "objects and rules" of the Euclidean Geometry and the "objects and rules" of $mathbbR^2$ ?



I hope you understand what I mean, maybe I've used a not so clear language, but I don't know how to better express my thought




geometry euclidean-geometry




share|cite|improve this question





















  • Depends what you mean by "$R^2$". You may be interested in this related q.. math.stackexchange.com/questions/831048/…
    – Peter Franek
    2 days ago













up vote
0
down vote

favorite









up vote
0
down vote

favorite











Is it correct to say that $mathbbR^2$ is an Euclidean Space since there is an isomorphism between the "objects and rules" of the Euclidean Geometry and the "objects and rules" of $mathbbR^2$ ?



I hope you understand what I mean, maybe I've used a not so clear language, but I don't know how to better express my thought




geometry euclidean-geometry




share|cite|improve this question













Is it correct to say that $mathbbR^2$ is an Euclidean Space since there is an isomorphism between the "objects and rules" of the Euclidean Geometry and the "objects and rules" of $mathbbR^2$ ?



I hope you understand what I mean, maybe I've used a not so clear language, but I don't know how to better express my thought





geometry euclidean-geometry





share|cite|improve this question












share|cite|improve this question




share|cite|improve this question








edited 2 days ago









zzuussee

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Koinos

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  • Depends what you mean by "$R^2$". You may be interested in this related q.. math.stackexchange.com/questions/831048/…
    – Peter Franek
    2 days ago

















  • Depends what you mean by "$R^2$". You may be interested in this related q.. math.stackexchange.com/questions/831048/…
    – Peter Franek
    2 days ago
















Depends what you mean by "$R^2$". You may be interested in this related q.. math.stackexchange.com/questions/831048/…
– Peter Franek
2 days ago





Depends what you mean by "$R^2$". You may be interested in this related q.. math.stackexchange.com/questions/831048/…
– Peter Franek
2 days ago
















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