interaction between space program and math
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Space consists of selected mathematical objects that are treated as points and selected relationships between these points. The nature of the points can vary widely: for example, the points can be elements of a set, functions on another space, or subspaces of another space. It is the relationships that define the nature of the space. More precisely, isomorphic spaces are considered identical, where an isomorphism between two spaces is a one-to-one correspondence between their points that preserves the relationships. For example, the relationships between the points of three-dimensional Euclidean space are uniquely determined by Euclid's axioms,[details 2] and all three-dimensional Euclidean spaces are considered comparable usable.
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