query: Why are additive limit preserving functors left exact?
positive_passages.docid: 143648
positive_passages.text: Reconciling different definitions of left-exact functor
negative_passages.docid: 5996
negative_passages.text: Are $(\mathbb{R},+)$ and $(\mathbb{C},+)$ isomorphic as additive groups?
negative_passages.docid: 137815
negative_passages.text: Additive but not $\sigma$-additive function
negative_passages.docid: 19773
negative_passages.text: Is finite additivity a property of the Lebesegue outer measure?
negative_passages.docid: 90944
negative_passages.text: Why do we want probabilities to be *countably* additive?
negative_passages.docid: 6904
negative_passages.text: questions about extremal epimorphisms in category theory
negative_passages.docid: 134104
negative_passages.text: Is there a Cantor-Schroder-Bernstein statement about surjective maps?
negative_passages.docid: 52798
negative_passages.text: Finding counterexamples: bijective continuous functions that are not homeomorphisms
negative_passages.docid: 63618
negative_passages.text: Can all ordinals be obtained by taking successors and countable limits?
negative_passages.docid: 6023
negative_passages.text: Surjectivity of Composition of Surjective Functions
negative_passages.docid: 94246
negative_passages.text: Category-theoretic limit related to topological limit?
negative_passages.docid: 141900
negative_passages.text: Exact sequence and Noetherian modules
negative_passages.docid: 148927
negative_passages.text: Why does every countable limit ordinal have cofinality $\omega$?
negative_passages.docid: 140662
negative_passages.text: Powers of infinite cardinals in the generic extension
negative_passages.docid: 53634
negative_passages.text: Sequences or 'chains' of adjoint functors
negative_passages.docid: 52429
negative_passages.text: Explicit countable elementary extension of $\mathbb{N}$
negative_passages.docid: 87412
negative_passages.text: when does a functor map products into products?