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Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.

4 votes

Why is the concept of topos a "metamorphosis" of the concept of space?

In sense, a sheaf over a space is 'representation' of the space. Somewhat akin to a module being a representation of a ring. So, a the catergory (topos) of sheaves over a space plays the same role the …
Mukul Patel's user avatar