what is point set theory
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In mathematics, general topology is the branch of topology that deals with the basicset-theoretic definitions and constructions used in topology. ... The fundamental concepts in point-set topology are continuity, compactness, and connectedness: Continuous functions, intuitively, take nearby points to nearby points.
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HEY FRND...☺☺⛤✔
⛤✔object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics. The language of set theory can be used in the definitions of nearly all mathematical objects.
⛤✔ "point-set" to topology therefore denotes that you are potentially working in a context where your spaces are not amenable to study via continuous or differentiable methods.
⛤☺✔BOUNDARY POINT=> point which is a member of the set closure of a given set and the set closure of its complement set. If is a subset of , then a point is a boundary point of if every neighborhood of contains at least one point in and at least one point not in .☆☆☆☆☆☆☆☆☆☆☆☆☆☆⛤⛤⛤⛤⛤⛤⛤⛤⛤⛤⛤⛤
⛤✔object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics. The language of set theory can be used in the definitions of nearly all mathematical objects.
⛤✔ "point-set" to topology therefore denotes that you are potentially working in a context where your spaces are not amenable to study via continuous or differentiable methods.
⛤☺✔BOUNDARY POINT=> point which is a member of the set closure of a given set and the set closure of its complement set. If is a subset of , then a point is a boundary point of if every neighborhood of contains at least one point in and at least one point not in .☆☆☆☆☆☆☆☆☆☆☆☆☆☆⛤⛤⛤⛤⛤⛤⛤⛤⛤⛤⛤⛤
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