Re: Compact open topology

On 27 Jan., 19:05, sanchopanch...@xxxxxx wrote:
Ok, but if one consider the map
hom(X x Y, Z) ---> hom(Y, hom(X,Z))
of sets, one gets a bijective map, right? But the underlying set of
the product and the topological homs are just the product SET and the
hom SET! How can this be?

The only chance I see is that the map does not exist in TOP, i.e. the
map is not continuous. I don't understand why the above topological
map isn't bijective but the SET one is bijective, because they have to
be the same, if one forgets the structure, right?

Sancho
.

Relevant Pages

  • Re: Compact open topology
    ... the product and the topological homs are just the product SET and the ... The only chance I see is that the map does not exist in TOP, ...
    (sci.math)
  • Re: Wilderness Maps
    ... skill or something might have a chance of automatically discovering ... map trying to find the hidden spots. ... arable lands there could be a chance of stumbling across a farmstead ... might even come with a related quest or two and have a temporary ...
    (rec.games.roguelike.development)
  • Re: He Hunter!
    ... it was always fun to read and to look up in the ... map, where you were roaming through. ... No chance to get away this year? ...
    (rec.equestrian)
  • Re: Stuart Marshalls World time
    ... > I suppose there isn't a chance of a version that has a larger Map - ... > monitor sizes have gone up a little since the program was first written ... Stuart Winsor ...
    (comp.sys.acorn.apps)
  • Re: Stuart Marshalls World time
    ... >> which smoothes out the day/night curve. ... > I suppose there isn't a chance of a version that has a larger Map - ... > monitor sizes have gone up a little since the program was first written ...
    (comp.sys.acorn.apps)
Loading