Reconstructing the topology of clones

  title={Reconstructing the topology of clones},
  author={Manuel Bodirsky and Michael Pinsker and Andr{\'a}s Pongr{\'a}cz},
Function clones are sets of functions on a fixed domain that are closed under composition and contain the projections. They carry a natural algebraic structure, provided by the laws of composition which hold in them, as well as a natural topological structure, provided by the topology of pointwise convergence, under which composition of functions becomes continuous. Inspired by recent results indicating the importance of the topological ego of function clones even for originally algebraic… CONTINUE READING