For every Grothendieck category, the subcategories closed under coproducts, subobjects, and essential extensions, as well as the cohomologically stable thick subcategories, are classified by clopen subsets of a new Boolean spectrum.
Crawley-Boevey, Locally finitely presented additive categories, Comm
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CT 1years
2024 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
The Boolean spectrum of a Grothendieck category
For every Grothendieck category, the subcategories closed under coproducts, subobjects, and essential extensions, as well as the cohomologically stable thick subcategories, are classified by clopen subsets of a new Boolean spectrum.