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

The Ancient Past: Learning a Language to Connect Materials with Users

Archives of the ancient world evince the longevity of our shared interests in preserving and documenting the culture, government, and knowledge of civilization. Whether studied by global travelers, classical archaeologists and historians, or filmmakers and television producers, archival materials from the ancient Mediterranean are contributing to collective memory, educational programming, and institutional collections. In this vein, the Program in Aegean Scripts and Prehistory (PASP) in the Department of Classics at The University of Texas at Austin fosters research and scholarship on the use of writing in Minoan Crete, Mycenaean Greece, and the island of Cyprus during the Bronze Age. There is a special focus on two early writing systems: Linear A and Cretan hieroglyphics (1900–1450 BCE) and Linear B (1400–1200 BCE). The program boasts an international base of researchers and users, and in recent years, staff have improved collection accessibility by reconfiguring physical spaces, advancing digitization projects, preserving endangered email accounts, and expanding the scope of collections to provide better access to these important materials.Classic

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

Good Fences Make Good Neighbors: Endogenous Property Rights in a Game of Conflict

This paper derives the conditions under which property rights can arise in an anarchy equilibrium. The creation of property rights requires that players devote part of their endowment to the public good of property rights protection. In the Nash equilibrium, players contribute zero to the protection of property rights. In contrast, a king who provides property rights protection paid for by a tax on endowments can completely eliminate conflict, but such a king has an incentive to take the surplus for himself. Thus players have an incentive to find a solution that keeps power in their own hands. In a social contract, players first credibly commit part of their endowments to providing property rights and then allocate the balance of their endowments between production and conflict. While property rights can arise under a social contract if the productivity of resources relative to the size of the population is sufficiently high, these property rights may be less than perfectly secure. Nevertheless, for sufficiently high productivity of resources relative to the size of the population, the social contract welfare dominates autocracy. Key Words:

Flexibility and development of mirroring mechanisms

The empirical support for the SCM is mixed. We review recent results from our own lab and others supporting a central claim of SCM that mirroring occurs at multiple levels of representation. By contrast, the model is silent as to why human infants are capable of showing imitative behaviours mediated by a mirror system. This limitation is a problem with formal models that address neither the neural correlates nor the behavioural evidence directly

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

Extended powers of manifolds and the Adams spectral sequence

The extended power construction can be used to create new framed manifolds out of old. We show here how to compute the effect of such operations in the Adams spectral sequence, extending partial results of Milgram and the author. This gives the simplest method of proving that Jones’ 30-manifold has Kervaire invariant one, and allows the construction of manifolds representing Mahowald’s classes η4 and η5, among others

Effects of prenatal stress on lever-press acquisition, delay discounting, and ethanol self -administration in rats

It is well established in animal research that the hypothalamic-pituitary-adrenal (HPA) axis plays a central mediating role in the detrimental effects of prenatal stress in mother and offspring. The prenatally stressed (PS) rat exhibits a number of behaviors indicative of increased HPA activity relative to control (CON) rats. Because of these behaviors, PS rats may learn novel responses more quickly than CON rats. However, there are mixed findings in the literature as to whether prenatal stress facilitates or impedes learning. Experiment 1 was designed to examine effects of prenatal stress on lever-press acquisition using 10-s delays to food pellet delivery in rats. Because of the paucity of literature on the link between stress and impulsive choice, Experiment 2 was designed to assess effects of prenatal stress on delay discounting (impulsive choice) in rats. Previous research has demonstrated that increased stress is correlated with greater facilitation and maintenance of drug taking. There is also evidence that increased rates of delay discounting are correlated with increased drug taking. Experiment 3 was designed to assess effects of prenatal stress on ethanol self-administration in rats. The present set of studies is the first to investigate the variables of stress, delay discounting, and ethanol self-administration using a within-subject design. During Experiment 1, PS rats obtained significantly more food pellets and responded at a higher rates on the lever correlated with food than CON rats. Prenatal stress did not differentially affect impulsive choice (Experiment 2) or ethanol consumption (Experiment 3). As is consistent with past research, a negative correlation was found between indifference points and g/kg of ethanol consumed for the lowest ethanol concentration during the two-bottle choice test. Lower indifference points (i.e., greater impulsivity) were correlated with greater g/kg of ethanol consumed for one of the testing concentrations