(tə-pŏl'ə-jē) The mathematical study of the geometric properties that are not normally affected by changes in the size or shape of geometric figures. In topology, a donut and a coffee cup with a handle are equivalent shapes, because each has a single hole.
1. The branch of mathematics dealing with continuous transformations. 2. Which hosts are directly connected to which other hosts in a network. Network layer processes need to consider the current network topology to be able to routepackets to their final destination reliably and efficiently. (2001-03-29)