[eli5] What is topological equivalence and why is it significant?
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Topological equivalence is a concept in mathematics that states two objects are the same if one can be continuously transformed into the other. This means that the objects have the same basic properties, such as shape and size, regardless of their exact location. This is significant because it allows mathematicians to classify objects and solve problems more easily. For example, two shapes may be topologically equivalent, meaning that the same equations can be used to solve problems involving both shapes.
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