Building Connections

Building Connections

Last year, in "Choosing Penn's Future," I reported to you my understanding of the key issues and opportunities the Universityfaces in the 1980's. At that time, I stressed that three special challenges would shape or educational planning for 1983 and beyond: undergraduate education, research excellence, and student financial assistance. This is a report on where those plans have taken us thusfar...

Cytoskeletal Connections: Building Strong Cells in New Ways

Cell and tissue integrity requires the coordination of actin and microtubules and the linkage of these cytoskeletal elements to cell junctions. New findings reveal that the cytoskeletal linker protein Short stop works with EB1 and APC1 to help carry out this function.

Regular Connections among Generalized Connections

The properties of the space A of regular connections as a subset of the space A of generalized connections in the Ashtekar framework are studied. For every choice of compact structure group and smoothness category for the paths it is determined whether A is dense in A or not. Moreover, it is proven that A has Ashtekar-Lewandowski measure zero for every nontrivial structure group and every smoot...

Shen's Processes on Finslerian Connections

Connections between labellings of trees

There are many long-standing conjectures related with some labellings of trees. It is important to connect labellings that are related with conjectures. We find some connections between known labellings of simple graphs.