Lattice Structures for Attractors III

The theory of bounded, distributive lattices provides the appropriate language for describing directionality and asymptotics in dynamical systems. For general notion ‘set-difference’ taking values a semilattice is introduced, called Conley form. form used to build concrete, set-theoretic models spectral spaces, or Priestley their finite coarsenings. Such representations formulate compute order-theoretic systems such as Morse decompositions representations, which may be regarded global characteristics system.