query: Any counterexample for inverse limit functor not to be right exact
positive_passages.docid: 155310
positive_passages.text: Do pullbacks commute with filtered limits in this sense?
negative_passages.docid: 141286
negative_passages.text: When is $\mathbf{X}^{T}\mathbf{X}+\lambda\mathbf{I}$ invertible?
negative_passages.docid: 155266
negative_passages.text: Is $\exp:\overline{\mathbb{M}}_n\to\mathbb{M}_n$ injective?
negative_passages.docid: 143874
negative_passages.text: Limit of derivative is zero. Does it imply a limit for f(x)?
negative_passages.docid: 22890
negative_passages.text: Is it coherent to extend $\mathbb{R}$ with a reciprocal of $0$?
negative_passages.docid: 127921
negative_passages.text: Does there exist a function such that $\lim_{x \to a} f(x) = L$ for all $a \in \mathbb R$ but $f(x)$ is never $L$?
negative_passages.docid: 52798
negative_passages.text: Finding counterexamples: bijective continuous functions that are not homeomorphisms
negative_passages.docid: 12547
negative_passages.text: Is it okay to "ignore" small numbers in limits where $x$ approaches infinity?
negative_passages.docid: 153697
negative_passages.text: Is there a function $f: \mathbb{R} \to \mathbb{R}$ such that $\lim\limits_{x\to p}f(x)=\infty$ for every $p \in \mathbb{R}$
negative_passages.docid: 132287
negative_passages.text: Axiom of Choice and Right Inverse
negative_passages.docid: 6772
negative_passages.text: How to prove that if the one sided limits are equal the general limit is that value?
negative_passages.docid: 51786
negative_passages.text: Is every additive monofunctor between abelian categories left exact?
negative_passages.docid: 5371
negative_passages.text: If a function has a finite limit at infinity, does that imply its derivative goes to zero?
negative_passages.docid: 136081
negative_passages.text: Indecomposable limit ordinals
negative_passages.docid: 148361
negative_passages.text: Localization and direct limit
negative_passages.docid: 62793
negative_passages.text: $\mathbb{R}$ with the lower limit topology is not second-countable
negative_passages.docid: 157608
negative_passages.text: One-sided limits of $f'(x)$ at a point vs. one-sided limits of the difference quotient at that point