query: Example of a non-linear, non-continuous mapping from $\mathbb R$ onto $\mathbb R$ whose graph is closed
positive_passages.docid: 20688
positive_passages.text: Discontinuous functions with closed graphs
negative_passages.docid: 15487
negative_passages.text: Continuous function from a connected set?
negative_passages.docid: 93776
negative_passages.text: Bijective mapping between $\mathbb{R}^2$ and $\mathbb{R}$?
negative_passages.docid: 49703
negative_passages.text: Analogue of closed graph theorem
negative_passages.docid: 112306
negative_passages.text: Two manifolds $X$ and $Y$ with two bijective continuous functions from $X$ to $Y$ and $Y$ to $X$, but not homeomorphic
negative_passages.docid: 61122
negative_passages.text: A continuous mapping is determined by its values on a dense set
negative_passages.docid: 151358
negative_passages.text: Continuous image of a locally connected space which is not locally connected
negative_passages.docid: 110885
negative_passages.text: Does there exists a continuous surjection from $\mathbb{R}$ to $\mathbb{R}^2$?
negative_passages.docid: 109462
negative_passages.text: Looking for a counter example for non-connected intersection of descending chain of closed connected sets
negative_passages.docid: 100436
negative_passages.text: Examples of nowhere continuous functions
negative_passages.docid: 148328
negative_passages.text: Example of a function $f$ on $X$ to $\mathbb{R}$ which is not $X$-measurable but $|f|$, and $f^2$ are measurable.
negative_passages.docid: 15160
negative_passages.text: Example of Riemann integrable $f: [0,1] \to \mathbb R $ whose set of discontinuity points is an uncountable and dense set in $[0,1]$
negative_passages.docid: 14322
negative_passages.text: Examples of bijective map from $\mathbb{R}^3\rightarrow \mathbb{R}$
negative_passages.docid: 107148
negative_passages.text: Does there always exist a continuous/smooth map from $\mathbb{R}^n$ onto a manifold $M^n$?
negative_passages.docid: 22641
negative_passages.text: Nonlinear function continuous but not bounded
negative_passages.docid: 15095
negative_passages.text: continuous onto map from $(0,1)\to (0,1]$
negative_passages.docid: 145952
negative_passages.text: Example of a closed subspace of a Banach space which is not complemented?