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Previously, we listed all 29 topologies on the set X={a,b,c}. However, some of the resulting topological...

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Advance Math

Previously, we listed all 29 topologies on the set X={a,b,c}.However, some of the resulting topological spaces are homeomorphic.Which are homeomorphic? Divide the set of 29 topological spacesinto homeomorphism classes, and be sure to justify your choices.There are 9 homeomorphism classes in total. (To justify yourchoices, explain why the spaces within each class are homeomorphicto each other. Your explanations can be somewhat loose).

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