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

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Category Theory and Ergodic Theory

You might want to have a look on the recent paper by Gromov , In a Search for a Structure, Part 1: On Entropy. June 19, 2012, http://www.ihes.fr/~gromov/PDF/structres-entropy-june-2012.pdf ; it menti …
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  • 468
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functors unique up to self-equivalence of the source category

Call two functors two functors $H,H':S\longrightarrow T$ weakly equivalent, or equivalent up to a self-equivalence of the source category, iff there exists a self-equivalence of $s:S \longrightarrow …
o a's user avatar
  • 468
3 votes

The category of posets

There is an example of a model category structure on a preorder of families of sets, defined as follows: $X\leq Y$ iff every element $x\in X$ is bounded $x\leq y_x$ by some element of $y_x\in Y$; fami …