A technique to calculate the colored Jones polynomials of satellite knots, illustrated by the Whitehead doubles of knots, is presented. Then we prove the volume conjecture for Whitehead doubles of a family of torus knots and show some interesting observations.

A technique to calculate the colored Jones polynomial of satellite knots, illustrated by the Whitehead doubles of knots, is presented. Then we prove the volume conjecture for Whitehead doubles of torus knots and show some interesting observations.

This paper contributes to a growing body of philosophical and psychological work that draws parallels between the writings of William James and Alfred North Whitehead James and Whitehead: Assemblage and Systematization of a Deeply Empiricist Mosaic Philosophy

Alfred North Whitehead (1861-1947) never wrote a comprehensive work in philosophy of education, but he occasionally delivered lectures concerned with educational policy. These incisive talks are collected in his book The Aims of Education and Other Essays. Whitehead and Dewey were contemporaries, and their ideas are in some notable respects similar. Like Dewey, Whitehead stresses the importance...

We give an explicit formula for Whitehead group of a threedimensional crystallographic group Γ in terms of the Whitehead groups of the virtually infinite cyclic subgroups of Γ. 0 Introduction The K-theory of integral group rings of crystallographic groups has been studied by Connolly and Koźniewski [8], Farrell and Hsiang [10], Farrell and Jones [11], Lück and Stamm [15], Quinn [20], Tsapogas [...

The connections between Whitehead groups and uniformization properties were investigated by the third author in [9]. In particular it was essentially shown there that there is a non-free Whitehead (respectively, א1-coseparable) group of cardinality א1 if and only if there is a ladder system on a stationary subset of ω1 which satisfies 2-uniformization (respectively, ω-uniformization). (See also...

We study Whitehead products in the rational homotopy groups of a general component of a function space. For the component of any based map f : X → Y , in either the based or free function space, our main results express the Whitehead product directly in terms of the Quillen minimal model of f . These results follow from a purely algebraic development in the setting of chain complexes of derivat...

The (constrained) canonical reduction of four-dimensional self-dual Yang–Mills theory to two-dimensional Fitzhugh–Nagumo and the real Newell–Whitehead equations are considered. On the other hand, other methods and transformations are developed to obtain exact solutions for the original two-dimensional Fitzhugh–Nagumo and Newell– Whitehead equations. The corresponding gauge potential Al and the ...