Talk:Submanifold

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The top diagram is incorrect - an immersed submanifold is the image of an injective immersion, and hence cannot have "self-intersections". --18.87.1.187 19:23, 11 September 2007

It's true that the image is in conflict with the definition given. In my experience, people often use the words "immersed submanifold" to refer to submanifolds with self-intersections, so I vote for changing the definition. Jim 21:39, 11 September 2007 (UTC)