The Anelastic Ericksen Problem: Universal Deformations and Universal Eigenstrains in Incompressible Nonlinear Anelasticity

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Universal deformations, rigidity, and Ihara’s cocycle

In [Iha86b], Ihara constructs a universal cocycle Gal ( Q/Q ) −→ Zp[[t0, t1, t∞]]/ ((t0 + 1)(t1 + 1)(t∞ + 1)− 1) arising from the action of Gal ( Q/Q ) on certain quotients of the Jacobians of the Fermat curves

Slodowy Slices and Universal Poisson Deformations

We classify the nilpotent orbits in a simple Lie algebra for which the restriction of the adjoint quotient map to a Slodowy slice is the universal Poisson deformation of its central fibre. This generalises work of Brieskorn and Slodowy on subregular orbits. In particular, we find in this way new singular symplectic hypersurfaces of dimension 4 and 6. To the memory of Professor Masaki Maruyama

The Universal Generalization Problem

Locke, Berkeley, Gentzen gave different justifications of universal generalization. In particular, Gentzen’s justification is the one currently used in most logic textbooks. In this paper I argue that all such justifications are problematic, and propose an alternative justification which is related to the approach to generality of Greek mathematics.

FLOWS AND UNIVERSAL COMPACTIFICATIONS

The main purpose of this paper is to establish a relation between universality of certain P-compactifications of a semitopological semigroup and their corresponding enveloping semigroups. In particular, we show that if we take P to be the property that the enveloping semigroup of a compactification of a semitopological semigroup s is left simple, a group, or the trivial singleton semigroup, t...