A Counterexample for Lightning Flash Modules over E(e1,e2)

We give a counterexample to Theorem 5 in Section 18.2 of Margolis' book, "Spectra and the Steenrod Algebra", and make remarks about the proofs of some later theorems in the book that depend on it. The counterexample is a module which does not split as a sum of lightning flash modules and free modules.Comment: 2 pages. Revision corrects a typo in the definition of M(n

Differentials in the homological homotopy fixed point spectral sequence

We analyze in homological terms the homotopy fixed point spectrum of a T-equivariant commutative S-algebra R. There is a homological homotopy fixed point spectral sequence with E^2_{s,t} = H^{-s}_{gp}(T; H_t(R; F_p)), converging conditionally to the continuous homology H^c_{s+t}(R^{hT}; F_p) of the homotopy fixed point spectrum. We show that there are Dyer-Lashof operations beta^epsilon Q^i acting on this algebra spectral sequence, and that its differentials are completely determined by those originating on the vertical axis. More surprisingly, we show that for each class x in the $^{2r}-term of the spectral sequence there are 2r other classes in the E^{2r}-term (obtained mostly by Dyer-Lashof operations on x) that are infinite cycles, i.e., survive to the E^infty-term. We apply this to completely determine the differentials in the homological homotopy fixed point spectral sequences for the topological Hochschild homology spectra R = THH(B) of many S-algebras, including B = MU, BP, ku, ko and tmf. Similar results apply for all finite subgroups C of T, and for the Tate- and homotopy orbit spectral sequences. This work is part of a homological approach to calculating topological cyclic homology and algebraic K-theory of commutative S-algebras.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-27.abs.htm

Pictures Of Brown County

Nature\u27s springtime awakening in Brown County sends new life and ambition into the heart of the observer. Hills and hollows join hands to make the picture complete

Can Foreign Aid Buy Investment? Appropriation Through Conflict

The failure of foreign aid to promote growth in the developing world has received significant attention as evidence suggests that foreign aid does not translate into investment. This research has demonstrated that poor institutions in these developing economies (particularly with respect to property rights) results in an inability to fully appropriate the return to one’s investment, thereby serving as a prominent disincentive to investment. This paper presents an experimental test of a a 2-player, one-shot game of conflict in which we vary the strength of property rights. Our results suggest that stronger property rights reduce conflict and increase investment. In addition, we test the conventional wisdom that technological progress can increase the effectiveness of aid in stimulating investment. Contrary to intuition, we find technological progress has practically no effect on investment and that this failure to stimulate investment is largely due to deficiencies in property right institutions. Key Words: Property Rights; Conflict; Investment; Foreign Aid; Experiments

The Collapse of the in Pari Delicto Defense to Bankruptcy Trustee Claims: How the Fifth Circuit Has Opened a New Door for Trustee Litigation

The following Article is organized in five parts: (1) part I places the in pari delicto issue in context by describing a hypothetical scenario in which in pari delicto typically arises; (2) part II describes the in pari delicto doctrine and its purposes; (3) part III summarizes the circuit court opinions applying in pari delicto to dismiss trustee claims; (4) part IV explains the Fifth Circuit\u27s application of in pari delicto; and (5) part V argues that the Fifth Circuit application is most consistent with § 541\u27s plain-language, Supreme Court precedent, and the purposes of the in pari delicto doctrine

Yield Premia on Debt in Leveraged Buyouts

obert F. Bruner is an Associate Professor in the Colgate Darden Graduate School of Business Administration at the University of Virginia

Some Remarks on the Root Invariant

We show how the root invariant of a product depends upon the product of the root invariants, give some examples of the equivariant definition of the root invariant, and verify a weakened form of the algebraic Bredon-Löffler conjecture