query: does inverse of continuous function is also continuous?
positive_passages.docid: 17223
positive_passages.text: Continuity of an inverse function.
negative_passages.docid: 29180
negative_passages.text: If $f(x/n)\to0$ when $n\to\infty$, for every $x$ and $f$ is continuous, then $f(x)\to0$ when $x\to0$, or not?
negative_passages.docid: 15487
negative_passages.text: Continuous function from a connected set?
negative_passages.docid: 84092
negative_passages.text: If $id:(X,d_1)\to (X,d_2)$ is continuous then what will be $X$?
negative_passages.docid: 100187
negative_passages.text: Show function is continuous at origin
negative_passages.docid: 150770
negative_passages.text: Why is $f^n(\xi(x))$ continuous over $x$?
negative_passages.docid: 127739
negative_passages.text: Is a continuous function on a bounded set bounded itself?
negative_passages.docid: 122086
negative_passages.text: continuous function: preimage of closure of a set is closure of preimage
negative_passages.docid: 143174
negative_passages.text: property of continuous function
negative_passages.docid: 151573
negative_passages.text: Show f is continuous on (0, ∞) iff f is continuous at 1 for a defined function.
negative_passages.docid: 117502
negative_passages.text: Proving that a certain continuous function is surjective.
negative_passages.docid: 65033
negative_passages.text: Prove inverse of strictly monotone increasing function is continuous over the range of original function
negative_passages.docid: 127114
negative_passages.text: Differentiability implying continuity
negative_passages.docid: 83446
negative_passages.text: bijective continuous function on $\mathbb R^n$ not homeomorphism?
negative_passages.docid: 86327
negative_passages.text: If the absolute value of a function is continuous, is the function continuous?
negative_passages.docid: 98772
negative_passages.text: Continuity of a function in $\mathbb{R}$
negative_passages.docid: 99179
negative_passages.text: Continuous function with compact domain has continuous inverse