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We employ techniques from topological data analysis to model sensor networks.Our approach to sensor integration uses the topological method of sheaves overcell complexes. The internal consistency of data from individual sensors isdetermined by a set of consistency functions assigned to elements of thecomplex. Using these functions we determine, for any collection of data, theunique set of maximal sections of consistent data received from the sensors. Weoffer a proof for the existence and uniqueness of these sections and illustratethe ideas with examples.

Maximal Sections of Sheaves of Data over an Abstract Simplicial Complex