query: an example of a continuous bijection which is not a homeomorphism
positive_passages.docid: 52798
positive_passages.text: Finding counterexamples: bijective continuous functions that are not homeomorphisms
negative_passages.docid: 77944
negative_passages.text: Injective functions with intermediate-value property are continuous. Better proof?
negative_passages.docid: 45432
negative_passages.text: Showing that $f:(0,2\pi]\to S^1$ is not a homeomorphism
negative_passages.docid: 41261
negative_passages.text: Functors that aren't continuous/smooth
negative_passages.docid: 79285
negative_passages.text: Does there exist a continuous surjection from $\Bbb R^3-S^2$ to $\Bbb R^2-\{(0,0)\}$?
negative_passages.docid: 100436
negative_passages.text: Examples of nowhere continuous functions
negative_passages.docid: 129227
negative_passages.text: An example of neither open nor closed set
negative_passages.docid: 146306
negative_passages.text: A continuous surjective function from $(0,1]$ onto $[0,1]$
negative_passages.docid: 106884
negative_passages.text: Is there a continuous bijection between an interval $[0,1]$ and a square: $[0,1] \times [0,1]$?
negative_passages.docid: 43189
negative_passages.text: Examples of continuous functions $f : \mathbb{R} \to \mathbb{R}$
negative_passages.docid: 73898
negative_passages.text: Give an example of cochain map which is bijective?
negative_passages.docid: 44361
negative_passages.text: An automorphism that has no fixed points except for the identity and is its own inverse implies commutativity
negative_passages.docid: 24828
negative_passages.text: surjective immersion $\mathbb{R}^2 \to \mathbb{R}^2$ which is not a diffeomorphism
negative_passages.docid: 57468
negative_passages.text: Continuous homorphisms between topological groups.
negative_passages.docid: 17607
negative_passages.text: Open maps which are not continuous
negative_passages.docid: 41872
negative_passages.text: Show that $\mathbb{R}^2$ is not homeomorphic to $\mathbb{R}^2 \setminus\{(0,0)\}$
negative_passages.docid: 41359
negative_passages.text: Constructing a bijection