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No, not all adherent points are accumulation points. But all accumulation points are adherent points.

Q: Is an adherent point an accumulation point?

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Yes, every point in an open set is an accumulation point.

Accumulation is a noun - the act of accumulating

"bound", "boundary", "circumscribe", "confine", "define", "demarcation", "demarcation line", "determine", "fix", "limit point", "limitation", "point of accumulation", "restrain", "restrict", "set", "specify", "terminal point", "terminus ad quem", "throttle" and "trammel"

Accumulation means a collection or large amount of something.

I looked at the accumulation of mail in my box and sighed with frustration.The accumulation of snow blocked most of the city streets.You should clean your computer regularly to remove any accumulation of dust.

Related questions

In mathematics, an accumulation point is a point such that every neighbourhood of the point contains at least one point in a given set other than the given point.

Yes, every point in an open set is an accumulation point.

It was an adherent substance.

The isoionic point is ph value at which a zwitterion molecule has an equal number of positive and negative charges and no adherent ionic species

He is an adherent of the Roman Catholic faith.

Training certificates.

An adherent of Christianity is called a Christian.

An accumulation point, or limit point, for a set S is a point x (not necessarily in S) such that any open set containing x also contains a point (distinct from x) that's in S. More intuitively, it means that by choosing points in S, we can get as close as we want to x without actually reaching it. For example, consider the set S={1,1/2,1/3,1/4,...} (in the real numbers). 0 is an accumulation point for S, because any open set containing 0 would have to contain all between 0 and some ε>0, which would include a point (actually, an infinite amount of points) in S. But 1/5, for example, is not an accumulation point for S, because we can take the open interval (11/60,9/40) which doesn't contain any points in S other than 1/5. Not all sets have an accumulation point. For example, any set of a finite amount of real numbers can't have an accumulation point. Another example of a set without an accumulation point is the integers (as a subset of the real numbers). However, over the real numbers, any bounded infinite set has an accumulation point. In a general topological space, any infinite subset of a compact set has an accumulation point.

Rip's sole adherent is his dog, Wolf

Acceptor, Adherent ,Convert,Devotee, Disciple

Complex analysis is a metric space so neighborhoods can be described as open balls. Proof follows a. Assume that the set has an accumulation point call it P. b. An accumulation point is defined as a point in which every neighborhood (open ball) around P contains a point in the set other than P. c. Since P is an accumulation point, I can choose an open ball around P that has a diameter less than the minimum distance between P and all elements of the finite set. Therefore there exists a neighbor hood around P which contains only P. Therefore P is not an accumulation point.

An adherent of Scientology.