- A core point is a point which has at least "MinPts" points inside its Epsilon radius.
- A border point is a point inside the Epsilon radius of a core point, but it has a number of points inside its own Epsilon radius inferior to "MinPts" so it isn't a core point.
- A noise point is a point which is neither a core point, nor a border point.
Given these definitions, I conclude that the distance between a Noise Point and Border Point can be less than Epsilon: a noise point could be a noise point because it is inside the Epsilon radius of a border point, but it doesn't have enough neighbors and at the same time it's not in the neighborhood of a core point.
Is this reasoning correct?