Bubble Divergences from Cellular Cohomology

Bubble divergences from cellular cohomology

Cellular Cohomology in Homotopy Type Theory

Wepresent a development of cellular cohomology in homotopy type theory. Cohomology associates to each space a sequence of abelian groups capturing part of its structure, and has the advantage over homotopy groups in that these abelian groups of many common spaces are easier to compute in many cases. Cellular cohomology is a special kind of cohomology designed for cell complexes: these are built...

Motivic Cohomology of Smooth Geometrically Cellular Varieties

We construct spectral sequences converging to the motivic cohomology of a smooth variety X over a field F of characteristic 0. In case X is geometrically cellular, i.e. has a cellular decomposition over the algebraic closure of F , the spectral sequences take an especially simple form. Introduction Let F be a field and X a projective homogeneous variety over F , i.e. a smooth projective variety...

From Poincare's Divergences to Quantum Mechanics

We discuss the spectral property of unstable dynamical systems in both classical and quantum mechanics. An important class of unstable dynamical systems corresponds to the Large Poincare Systems (LPS). Conventional perturbation technique leads then to divergences. We introduce methods for the elimination of Poincare divergences to obtain a solution of the spectral problem analytic in the coupli...

Modeling Child Divergences from Adult Grammar

During the course of first language acquisition, children produce linguistic forms that do not conform to adult grammar. In this paper, we introduce a data set and approach for systematically modeling this child-adult grammar divergence. Our corpus consists of child sentences with corrected adult forms. We bridge the gap between these forms with a discriminatively reranked noisy channel model t...