[eli5] What is topological equivalence and why is it significant?
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Topological equivalence is a concept in mathematics which states that two objects are considered to be equivalent if they can be continuously deformed into each other without any tearing or gluing. This means that two objects can be considered to be topologically equivalent even if they look different or have different properties. This is significant because it allows us to classify objects into different categories based on their topological properties, rather than their physical properties. This can be useful in many areas of mathematics, such as algebraic topology and geometry.
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