%0 Journal Article %T Basic Subtoposes of the Effective Topos %A Sori Lee %A Jaap van Oosten %J Mathematics %D 2012 %I arXiv %X We employ a new tool (sights) to investigate local operators in the Effective Topos. A number of new such local operators is analyzed using this machinery. Moreover, we investigate a local operator defined in the thesis of A. Pitts, and establish that its corresponding subtopos satisfies true arithmetic. %U http://arxiv.org/abs/1201.2571v1