Re: continuous function
- From: Thomas Mautsch <mautsch@xxxxxxx>
- Date: 23 May 2006 13:01:47 +0100
In news:<1148361625.233423.300920@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>
schrieb Proginoskes <CCHeckman@xxxxxxxxx>:
Robert Israel wrote:
Jonas <asdf@xxxxxxxxxxxxxxx> wrote:
let f:RxR->R
where R is the real numbers
let g:R->R be an arbitrary bijective continous function.
if fog (the composition of f and g) is alsways continuous for all g's ( that
is for all bijective continuous functions), is f then continuous?
Hint: Try the most obvious g.
Of course, that only works with the standard topology.
???
It works whenever there are identical topologies on domain and range of g.
If not, the result is only true
if the topologies are homeomorphic...
.
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- continuous function
- From: Jonas
- Re: continuous function
- From: Robert Israel
- Re: continuous function
- From: Proginoskes
- continuous function
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