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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.

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Existence of a Sub-Category of the Category of Topological Spaces

My question start with the following observations: If you have a finite number of topological spaces $X_1, \dots , X_n$ you can define a space that is the disjoint union of its $\sqcup_{i=1}^n X_n=Y …
Joaquín Moraga's user avatar