On the Adams Spectral Sequence for R-modules

We discuss the Adams Spectral Sequence for R-modules based on commutative localized regular quotient ring spectra over a commutative S-algebra R in the sense of Elmendorf, Kriz, Mandell, May and Strickland. The formulation of this spectral sequence is similar to the classical case and the calculation of its E_2-term involves the cohomology of certain `brave new Hopf algebroids' E^R_*E. In working out the details we resurrect Adams' original approach to Universal Coefficient Spectral Sequences for modules over an R ring spectrum. We show that the Adams Spectral Sequence for S_R based on a commutative localized regular quotient R ring spectrum E=R/I[X^{-1}] converges to the homotopy of the E-nilpotent completion pi_*hat{L}^R_ES_R=R_*[X^{-1}]^hat_{I_*}. We also show that when the generating regular sequence of I_* is finite, hatL^R_ES_R is equivalent to L^R_ES_R, the Bousfield localization of S_R with respect to E-theory. The spectral sequence here collapses at its E_2-term but it does not have a vanishing line because of the presence of polynomial generators of positive cohomological degree. Thus only one of Bousfield's two standard convergence criteria applies here even though we have this equivalence. The details involve the construction of an I-adic tower R/I <-- R/I^2 <-- ... <-- R/I^s <-- R/I^{s+1} <-- ... whose homotopy limit is hatL^R_ES_R. We describe some examples for the motivating case R=MU.Comment: Published 7 April 2001 by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-9.abs.html . Erratum added 9 May 200

Internal networks revisited: Telepathy meets technology

This conference paper is available to download from the publisher’s website at the link below.This is speculative paper that explores the paradigm-shifting concept of initiating a mind/body to computer communication or interaction, it is not intended necessarily a prescriptive work. This idea pushes the boundaries of accepted conventional science, in terms of human versus computer capabilities and the potential for these capabilities to work in tandem, through means currently accepted only in science fiction. This paper takes the recent revelations in physics, psychology and neuroscience then couples them with the idea of human computer interaction and wireless communication to envision experiential means of connecting human consciousness with technology

A lower bound for average values of dynamical Green's functions

We provide a Mahler/Elkies-style lower bound for the average values of dynamical Green's functions on the projective line over an arbitrary valued field, and give some dynamical and arithmetic applications.Comment: 15 pages; to appear in Mathematical Research Letters. Removed remark following Lemma 3.

Growth rates of bacteria in rivers

Three different methods for determining bacterial growth rate in rivers are described. Two of the methods are for bacteria in suspension: a recirculating experimental channel method and a radioactive tracer technique using super(35)SO sub(4). The third method is for bacteria attached to surfaces and specifically considers the surface of the common duckweed Lemna minor)

A Voluntary Default Savings Plan: An Effective Supplement to Social Security

This paper outlines a proposal for a default savings plan that is intended to provide an important supplement to retirement income for the bottom half of the workforce, most of whom have little other than Social Security to support themselves in retirement at present. Under the proposal, workers would make a default contribution of 3.0 percent on annual wages up to $40,000. They could opt out from this contribution if they choose. The contribution would be automatically turned into an annuity at retirement although workers would have the option to make a lump sum withdrawal after paying a modest penalty.The lowest income workers would get a modest contribution paid into the system by the government based on their earnings. This payment would be modeled along the lines of the Earned Income Tax Credit, with the payment increasing with earnings up to$8,000 and then phasing down to zero with earnings above $20,000. There would also be a match of savings that phases down to zero at$40,000

The Housing Crash Recession and the Case for a Third Stimulus

This paper makes the case for a third stimulus package to in the face of economic indicators signaling that the economy is in a deeper downturn than was expected based on previous projections. Specifically, the report calls for an employer tax-credit for extending health care coverage and another per worker employer tax credit for increasing paid time off from work. The author also makes the case for a housing policy centered on the stabilization of prices in non-bubble and deflated markets rather than applying the same efforts on markets that remain at bubble inflated levels. Finally, the paper argues that the dollar must be allowed to fall in order to adjust trade imbalances that are compounding the U.S. economic crisis caused by the collapse of the housing market

On the cohomology of loop spaces for some Thom spaces

In this paper we identify conditions under which the cohomology H^*(\Omega M\xi;\k) for the loop space $\Omega M\xi$ of the Thom space $M\xi$ of a spherical fibration $\xi\downarrow B$ can be a polynomial ring. We use the Eilenberg-Moore spectral sequence which has a particularly simple form when the Euler class e(\xi)\in H^n(B;\k) vanishes, or equivalently when an orientation class for the Thom space has trivial square. As a consequence of our homological calculations we are able to show that the suspension spectrum $\Sigma^\infty\Omega M\xi$ has a local splitting replacing the James splitting of $\Sigma\Omega M\xi$ when $M\xi$ is a suspension.Comment: Final version, minor change

China Employment Law Update - June 2007

An update in ongoing developments regarding labor relations and employment in China

Breaking New Ground in Germany: Work Visa and Labour Law Aspects

[Excerpt] The purpose of this booklet is to provide a summary of the laws and procedures applicable to anyone who enters Germany and takes up employment. It does not explore all issues in detail.The law is correct as of April 1, 2006