What is the relation between an affine space and a topological space? Is one a specialization of the other?
Moreover, what do we call a point in geometry: an element of a topological space or an element of an affine space ?
What is the relation between an affine space and a topological space? Is one a specialization of the other?
Moreover, what do we call a point in geometry: an element of a topological space or an element of an affine space ?
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No. You may have different topologies on the same affine space and you can have topological spaces without any affine structure.