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

8 votes
0 answers
142 views

What are filtered colimits in the category of complete semilattices?

My question is basically stated in the title. Does somebody know an explicit description of the filtered colimits in the category of complete semilattices? I am happy to provide background explaining …
Niemi's user avatar
  • 1,498
5 votes
2 answers
694 views

Finiteness and cardinality in abstract categories

My question is a very simple one. What ways are there to generalize terms such as cardinality (or, more generally, the concept of finiteness) to abstract (and not concretizable) categories? I have s …
Niemi's user avatar
  • 1,498
4 votes

Presenting Lawvere theories?

Maybe the following explanation might help a bit: I think you should not compare Lawvere theories with clones from universal algebra, as the two things are not on the same level of generality even wi …
Niemi's user avatar
  • 1,498
6 votes

Lawvere theories versus classical universal algebra

The following point is of course related to the fact that you can use models different from Set, but I think it deserves to be discussed explicitly. Every clone (in the unverisal algebra sense) can b …
Niemi's user avatar
  • 1,498