Centers and homotopy centers in enriched monoidal categories

We consider a theory of centers and homotopy centers of monoids in monoidal categories which themselves are enriched in duoidal categories. Duoidal categories (introduced by Aguillar and Mahajan under the name 2-monoidal categories) are categories with two monoidal structures which are related by some, not necessary invertible, coherence morphisms. Centers of monoids in this sense include many examples which are not `classical.' In particular, the 2-category of categories is an example of a center in our sense. Examples of homotopy center (analogue of the classical Hochschild complex) include the Gray-category Gray of 2-categories, 2-functors and pseudonatural transformations and Tamarkin's homotopy 2-category of dg-categories, dg-functors and coherent dg-transformations.Comment: 52 page

Career Resources Centers

published or submitted for publicatio

Israel in Jewish Community Centers

An exploration of Jewish Community Centers, their historical significance, and the pivotal role they continue to play in engaging the community in meaningful and substantive "up-to-date" Israel experiences

Telemarketing: Five Industry Centers

[Excerpt] In March 2006, the 4,789 business establishments classified as telemarketing bureaus (NAICS 561422) employed 337,662 workers. Weekly wages in the industry averaged $527 and workers’ average annual pay was$24,966. The five counties with the greatest number of telemarketing employees supply a little over 11 percent of the total number of workers in the industry with a combined total of 38,620. With 10,175 telemarketers accounting for 1.8 percent of its total employment, Bexar County, Texas, which contains San Antonio, tops the list. The telemarketing employees earn an average of $653 per week, more than$100 above the national average for the industry. Bexar County has 37 telemarketing establishments, the lowest establishment count among the top five counties

Non-Euclidean Triangle Centers

Non-Euclidean triangle centers can be described using homogeneous coordinates that are proportional to the generalized sines of the directed distances of a given center from the edges of the reference triangle. Identical homogeneous coordinates of a specific triangle center may be used for all spaces of uniform Gaussian curvature. We also define the median point for a set of points in non-Euclidean space and a planar center of rotation for a set of points in a non-Euclidean plane.Comment: 29 pages, 12 figures; added calculations of planar center of rotation for edges and interior of an isosceles triangl