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While CatDat already has a couple of well-known categories, some are currently missing. Here are some suggestions.
| Notation | Category | Links |
|---|---|---|
| Graded modules | ||
| compactly generated weak Hausdorff spaces | ||
| Homotopy category of Top | ||
| Hausdorff spaces | ||
| Compact Hausdorff spaces | ||
| Topological groups | ||
| Banach spaces with continuous linear maps | ||
| Topological vector spaces | ||
| Normed vector spaces | ||
| Complete metric spaces | MSE | |
| C*-algebras | ||
| Lawvere metric spaces | ||
| Modules over a sheaf of rings | ||
| Ringed spaces | ||
| Quasi-coherent sheaves | ||
| Algebras over a sheaf of rings | ||
| Simplex category |
Also:
- Add the categories from https://math.stackexchange.com/questions/4481902/locally-presentable-vs-compactly-presentable-categories
- Add the categories from https://mathoverflow.net/questions/258269/cocomplete-topoi-that-are-not-grothendieck
IMPORTANT. Adding these categories to the categories table is easy, but not sufficient, since (see CONTRIBUTING.md) one should also try to fill in the properties and non-properties (in case they are not deduced already). So this is actually a quite big task. Maybe one can make one commit (or PR) per category.
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