“assume that the
topological space is finite dimensional”
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a space that is contained within another space
a space that contains no points; and empty space
a set of points such as those of a closed surface or an analogue in three or more dimensions
a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality
a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
a metric space that is linear and complete and (usually) infinite-dimensional
the unlimited expanse in which everything is located
(mathematics) an abstract collection of numbers or symbols