Intermediate Adjunction with A-Movement

Intermediate Adjunction with A-Movement

It’s widely assumed—often tacitly—that A-movement doesn’t move through intermediate positions where it doesn’t seem to check features (e.g. Baltin 2001). Chomsky (2001), however, proposes that all movement from inside the complement of v to a position above vP must pass through an intermediate position in the edge of vP. Within Chomsky’s proposal, this follows from the assumption that vP is a P...

Adjunction Node V Root Foot Spine Auxiliary Tree Adjunction a a a A

Order and Optionality: Minimalist Grammars with Adjunction

Adjuncts are characteristically optional, but many, such as adverbs and adjectives, are strictly ordered. In Minimalist Grammars (MGs), it is straightforward to account for optionality or ordering, but not both. I present an extension of MGs, MGs with Adjunction, which accounts for optionality and ordering simply by keeping track of two pieces of information at once: the original category of th...

Exotic structures and adjunction inequality

Theorem 1.1. ([E]) Let X = B ∪ (1-handles) ∪ (2-handles) be four-dimensional handlebody with one 0-handle and no 3or 4-handles. Then • The standard symplectic structure on B can be extended over 1-handles so that manifold X1 = B 4 ∪ (1-handles) is a compact Stein domain. • If each 2-handle is attached to ∂X1 along a Legendrian knot with framing one less then Thurston-Bennequin framing of this k...

Quantifier elimination via adjunction

Sufficient conditions are provided for quantifier elimination to hold in a first-order theory. The conditions have two main purposes: (1) to ensure that satisfaction of existential formulas is reflected by an embedding; and (2) to guarantee the existence of a “minimal" model of the theory extending a model of the universal formulas entailed by the theory. The first goal is obtained by requiring...