It seems to me that the idea of compactification in String theory is related to the concepts of Compactification and Quotient topology in topology theory. How compactification in String theory can be precisely defined in topological terms?
2026-03-25 15:57:04.1774454224
Compactification in String Theory
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What physicists call a "compactification" is what mathematicians call a fiber bundle with compact fibers. It's somewhat related to quotient topologies in the sense that the projection from the total space to the base is a quotient map; but fiber bundles are much more specialized than quotient spaces.