11. In mathematics, it influenced the abstract analysis of E . H . Moore and the lattice theory of Garrett Birkhoff. 12. It is often the case that standard treatments of lattice theory define a semilattice, if that, and then say no more. 13. His early research was devoted to a fledgling branch of algebra based on what is now known as the lattice theory . 14. Emre received a Bachelor of Science degree in Mathematics at Middle East Technical University, specializing in universal algebra and lattice theory . 15. The word was coined by Garrett Birkhoff before 1967, for use in the third edition of his book " Lattice Theory ". 16. The notions of filters refer to particular kinds of subsets of a partially ordered set, and are therefore important for lattice theory . 17. They have applications in algebraic topology, where they are used to define lattice theory studies free abelian subgroups of real vector spaces. 18. Grenander's abstract inference and his theory of patterns are useful for spatial statistics and image analysis; these theories rely on lattice theory . 19. He then turned his attention to lattice theory becoming, together with Garrett Birkhoff, one of the two founders of American expertise in the subject. 20. In particular, CLP was, after all, not a problem of lattice theory , but rather of universal algebra even more specifically, " semilattice theory "!
