Maintaining Connections

Syncytium biogenesis: It's all about maintaining good connections

At the end of mitosis, cells typically complete their division with cytokinesis. In certain tissues however, incomplete cytokinesis can give rise to cells that remain connected by intercellular bridges, thus forming a syncytium. Examples include the germline of many species, from fruitfly to humans, yet the mechanisms regulating syncytial formation and maintenance is unclear, and the biological...

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.

Properties of Generalized Berwald Connections