A Homological Theory of Functions: Nonuniform Boolean Complexity Separation and VC Dimension Bound Via Algebraic Topology, and a Homological Farkas Lemma

In particular we shall note that all the notions we consider allow one to construct a simple metric space that corresponds to a set of computations, moreover the topology of

If we wish to define the left derived functors of a covariant functor or the right derived functors of a contravariant functor, it is similarly necessary to assume that every object A

Short exact sequences need not remain exact under the pushout and pullback operations that make Ext a group valued functor.. In any

Toute utilisa- tion commerciale ou impression systématique est constitutive d’une in- fraction pénale.. Toute copie ou impression de ce fichier doit conte- nir la présente mention

BARSOTTI, Le equazioni differenziali delle funzioni theta; continuazione,

Deligne and Hain ([i] and [2]) each have defined functorial mixed Hodge struc- tures on 7Ti(X, Xo), X an algebraic variety. These vary as the point

Section i is a review of filtrations, gradings, differential algebras, and spectral sequences. We also give Deligne's definition of a mixed Hodge structure there. Section 2 and

Theorem 0.2 The set of isomorphism classes of nondegenerate R-linear [n, k, d]-codes are in bijective correspondence with projective systems over R with parameters n, k, and d..