We study topological constructions in the recursion theoretic framework of the lattice of recursively enumerable open subsets of a topological space X. Various constructions produce complemented ...

A genetic mutation that slowed down the development of the prefrontal cortex (PFC) in two or more children may have triggered a cascade of events leading to acquisition of recursive language and ...

We extend the priority method in α-recursion theory to certain arguments with no a priori bound on the required preservations by proving the splitting theorem for all admissible α. THEOREM: Let C be a ...