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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

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Why are inverse images more important than images in mathematics?

One often thinks of a homomorphism as something that "preserves the structure" of an object, but it is often better to think of it as something that "does not add new information to the object". The …
Abhimanyu Pallavi Sudhir's user avatar