Connected pretopology in recombination space.

Topological features evolved from genetic operators in the recombination space play a crucial role in the course of evolution. Different crossover models generated in a recombination space can be structured by pretopological space. This paper deals with several types of connectedness properties of recombination space in three different cases of unequal crossover of recombination space structured as pretopology. It is shown that unrestricted unequal crossover is one-sidedly connected and consequently hyper-connected, apo-connected and connected as well. Restricted unequal crossover is hyper-connected and connected. Unequal sister chromatid exchange is connected.