There are two changes in Products in dagger categories with complete ordered Mor-sets draft article:
1. I’ve removed the section on relation of subatomic product with categorical product saying that for funcoids they are the same. No, they are not the same. My claim that they are the same was false.
2. Added section “Special case of funcoids” with a theorem and two new open problems:
Proposition for an indexed family
of funcoids and indexed families
and
of filters where
,
for every
.
Conjecture for an indexed family
of funcoids and
for every
.
A weaker conjecture:
Conjecture for funcoids
and
and
.
I hastened. The prior statement that subatomic product of funcoids coincides with categorical product was indeed true. Consequently the above conjectures are also true.