18 May
2008
18 May
'08
1:49 p.m.
On Sun, 18 May 2008, Dan Asimov wrote:
<< What you presumably are interested in is a continuous extension whichs in some way "natural", as in factorial vis-a-vis Gamma function.
Does the Fibonacci multiplication (which Knuth denotes with just a circle: x o y) have a continuous extension to the positive reals that remains commutative and associative ?
A natural extension would be nice, but for now I'm interested in a continuous extension to the positive reals that remains commutative and associative.
More generally, exactly what are the possible topological semigroups on the real line? Someone must have figured this out.