Recent content by kiriyama

1. Prove if f:R->R is periodic and continuous, then f is uniformly continuous 2. There exists h that does not equal zero such that f(x+h)=f(x)

nvmd...i got it...took a little longer than i hoped but i got it now thanks for the help

using a particular point topology? or what? can you please explain i mean i get where youre headed but I am trying to find the missing step in between

i believe youre over complicating this im looking for an example of a set X that has two topologies T and S that has an identity function from (X,T) to (X,S) that is continuous but not homeomorphic i already know that given any space X and two topologies T and S, (X,T) and (X,S) are never...

i apologize i am new here...just looked for the first place that seemed appropriate and i assume the definitions to be the standard ones... continuous: T and S are topologies and F:X->Y; for each S open subset V of Y, f^-1(V) is a T open subset of X and homeomorphic: f is one to...

Give an example of a set X with two topologies T and S such that the identity function from (X,T) to (X,S) is continuous but not homeomorphic. I always struggle with these because I get overwhelmed by the generality that it has. Any ideas would be very much appreciated.