The problem was to develop a model of thought within the basic structure provided by general or "point-set" topology. To do this, it was necessary to make four basic assumptions. It was assumed that each individual possesses more than the classical five senses and that for each of these there exists a category of sensory data. Also, it was assumed that the Cartesian product of these categories formed a set M of thought elements for each individual, and that certain subsets of M provide support for cogitation. The relation, function, continuous function, and homeomorphism, which are used to relate sets in topology, are discussed as a possible ramification of the model for communication. The global properties of the homeomorphism and continuous function present each as a viable support for strong and meaningful communication between thought spaces of individuals.