Subspace topology is a method of defining a topology on a subset of a topological space, such that the open sets in the subspace correspond to the intersections of open sets in the larger space with the subset. This concept allows for the exploration of properties of subsets while still retaining their relationship to the larger space they are part of. It is essential for understanding how different spaces can relate to each other, especially in the context of product spaces and the overall structure of topological spaces.
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