Bar constructions and Quillen homology of modules over operads

We show that topological Quillen homology of algebras and modules over operads in symmetric spectra can be calculated by realizations of simplicial bar constructions. Working with several model category structures, we give a homotopical proof after showing that certain homotopy colimits in algebras and modules over operads can be easily understood. A key result here, which lies at the heart of this paper, is showing that the forgetful functor commutes with certain homotopy colimits. We also prove analogous results for algebras and modules over operads in unbounded chain complexes.Comment: 38 pages, uses xy-pic, minor revisio

Homotopy theory of modules over operads in symmetric spectra

We establish model category structures on algebras and modules over operads in symmetric spectra, and study when a morphism of operads induces a Quillen equivalence between corresponding categories of algebras (resp. modules) over operads.Comment: Corrigendu

An Exegetical Treatment of I Timothy 2:9-15 as it Pertains to the Privieges of Women in the Church

But for now the subject of this paper necessarily was limited to exegetical study of I Timothy 2:9-15 which is one of the focal points under discussion in the practical discussions revolving around the privileges of women in the church. It should be borne in mind that this is but one phase of a complex responsibility. This paper in no way seeks to answer all the problems involved, nor to draw accuracy on all points from the confusion, nor to formulate any direction for every practical situation in the world of today. That would be impossible on this level even if the writer were equipped to undertake such an impossible task

The Fulfillment of Old Testament Prophecy in the Gospel of St Matthew Exegetically and Doctrinally Treated

Matthew has some 27 prophecy quotations in his Gospel. We list them here as they occur from time to time in the Gospel, giving the location of the fulfillment, the subject prophesied, and the location of the prophecy. Of course, in some cases, various prophecies have the same fulfillment

The Foolishness of Christ Crucified Viewed from the Point of Incipient Gnosticism at Corinth

The thesis of this paper is that at Corinth Paul did take over some of the thought patterns and vocabulary of an incipient Gnosticism with Judaic overtones. But instead of being influenced theologically by the borrowed terms, he used them for his consistent preaching of the crucified Savior, the true Wisdom of God. He was well aware of the uniqueness of the religion he preached; its real source lay not in the current thought forms of either Judaism or Hellenism, but in the Person, \u27Preaching and redemptive work of the crucified Son of God