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What is the definition of a manifold in differential geometry? a ) It is a topological space that locally resembles Euclidean space near each point.

What is the definition of a manifold in differential geometry?
a) It is a topological space that locally resembles Euclidean space near each point.
b) It is a set of points that are equidistant from a given point, forming a circle in two dimensions.
c) It is a geometric object that can be smoothly mapped onto a Euclidean space.
d) It is a set of points in space that satisfy a system of linear equations.

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