  We employ techniques from topological data analysis to model sensor networks.
Our approach to sensor integration uses the topological method of sheaves over
cell complexes. The internal consistency of data from individual sensors is
determined by a set of consistency functions assigned to elements of the
complex. Using these functions we determine, for any collection of data, the
unique set of maximal sections of consistent data received from the sensors. We
offer a proof for the existence and uniqueness of these sections and illustrate
the ideas with examples.
