I-adic towers in topology

A large variety of cohomology theories is derived from complex cobordism MU^*(-) by localizing with respect to certain elements or by killing regular sequences in MU_*. We study the relationship between certain pairs of such theories which differ by a regular sequence, by constructing topological analogues of algebraic I-adic towers. These give rise to Higher Bockstein spectral sequences, which turn out to be Adams spectral sequences in an appropriate sense. Particular attention is paid to the case of completed Johnson--Wilson theory E(n)-hat and Morava K-theory K(n) for a given prime p.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-65.abs.htm

The beta family at the prime two and modular forms of level three

We use the orientation underlying the Hirzebruch genus of level three to map the beta family at the prime p=2 into the ring of divided congruences. This procedure, which may be thought of as the elliptic greek letter beta construction, yields the f-invariants of this family.Comment: 13 page

Rigidity and exotic models for the K-local stable homotopy category

Can the model structure of a stable model category be recovered from the triangulated structure of its homotopy category? This paper introduces a new positive example for this, namely the K-local stable homotopy at the prime 2. For odd primes, however, this is not true: we discuss a counterexample given by Jens Franke and show how such exotic models for the K-local stable homotopy category at odd primes can be detected

An Exploration of Divorced Professional Black Women (PBW) Perspectives of Mutual Submission in Marriage

The purpose of this transcendental phenomenological study was to examine the viewpoints of divorced Professional Black Women (PBW) on reciprocal submission in marriage. The theories that guided this study were social exchange theory, womanist theory, and equity theory. The central research question for this study was, what is the lived experience of mutual submission in the marriage of divorced professional women? In certain instances, traditional submission behaviors have been perceived as reticence, servitude, inferiority, debasement, and a show of weakness. In addition, biblical submission is recognized as subjective to the reader or practitioner. Because submission has a long history and is profoundly ingrained in our patriarchal culture, there have been few conversations and studies on reciprocal submission. The sample size for this study was 10 divorced Professional Black Women. Data was collected using open-ended semi-structured interview questions and analyzed using Moustakas (1994) transcendental phenomenology. The findings of this study described the common experience of mutual submission experiences in marriage of divorced professional Black women. Four themes emerged from the analysis of the data: (a) disparity in embracing the idea of equality in marriage, (b) negative experiences due to spiritual incompatibility, (c) cultural expectations and family of origin influences, and (d) gender roles and the divergence from marital expectations. The study is significant to marriage and family therapists and counselors, mental health professionals, and spiritual leaders as it informs and educate individuals who seek marriage or married couples on the benefits and advantages of mutual submission in marriage. Also, this study contributes to the gap in the literature on the practices of mutual submission in marriage

Vanishing lines in generalized Adams spectral sequences are generic

We show that in a generalized Adams spectral sequence, the presence of a vanishing line of fixed slope (at some term of the spectral sequence, with some intercept) is a generic property.Comment: 11 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol3/paper7.abs.htm

Testing Theories of Government Growth in the Fifty States, 1945 to 1998.

This dissertation explores the determinants of government growth in the American states. Understanding the causes of public sector growth is important as the administration of government programs is increasingly devolved to the states. Past research has typically been on national-level growth. However, the variety in state institutional structures, resource bases, and population needs makes for an ideal comparative laboratory. With some exceptions, state-level studies have had a public finance approach that often exclude relevant political and demographic factors that can lead to increased public sector size. My analysis of state government growth tests thirteen models covering both traditional political explanations as well as explanations found in the public finance literature. I use a pooled cross-sectional time-series research design to determine the causes of growth in forty-nine states for the years 1946 to 1997. The study categorizes explanations of government growth as either responsive or excessive. Responsive explanations suggests that growth is a reflection of the needs and demands of the population. Excessive explanations are those that posit growth beyond that demanded by the citizenry. These explanations are tested in a combined model on both undeflated and deflated state government size. I find strong support for three responsive explanations: Political Needs, Party Control, and Political Culture. The analysis indicates weak support for Wagner\u27s Law with confirmatory evidence confined to urbanization. Two components of Wagner\u27s Law, industrialization and per capita income, are negatively related to government growth. Four excessive explanations gain considerable support: Intergovernmental Grants, Bureau-Voting, Divided Government, and Unfunded Mandates . The analysis indicates that only state government employees have a positive impact on public sector growth. The results reveal that the effect of divided government on state government growth is contingent on the lack of state supermajority requirements for tax increases. There is only weak evidence in favor of the Constituency Size theory. Overall, my study suggests that state government growth is best explained by theories that fall within the excessive category. Of the variables correctly signed, the effects of intergovernmental grants and state employees on government growth are the two strongest in both the undeflated and deflated models